Propagation of computer virus both across the Internet and external computers: A complex-network approach
•This paper addresses the effects of the Internet topology and external computers on computer virus spreading.•An epidemiological model is established.•The unique (viral) equilibrium of the model is globally attractive.•Computers with higher node degrees are more susceptible to infections than those...
Gespeichert in:
| Veröffentlicht in: | Communications in nonlinear science & numerical simulation Jg. 19; H. 8; S. 2785 - 2792 |
|---|---|
| Hauptverfasser: | , , , , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier B.V
01.08.2014
|
| Schlagworte: | |
| ISSN: | 1007-5704, 1878-7274 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | •This paper addresses the effects of the Internet topology and external computers on computer virus spreading.•An epidemiological model is established.•The unique (viral) equilibrium of the model is globally attractive.•Computers with higher node degrees are more susceptible to infections than those with lower node degrees.•Some appropriate protective measures are suggested.
Based on the assumption that external computers (particularly, infected external computers) are connected to the Internet, and by considering the influence of the Internet topology on computer virus spreading, this paper establishes a novel computer virus propagation model with a complex-network approach. This model possesses a unique (viral) equilibrium which is globally attractive. Some numerical simulations are also given to illustrate this result. Further study shows that the computers with higher node degrees are more susceptible to infection than those with lower node degrees. In this regard, some appropriate protective measures are suggested. |
|---|---|
| AbstractList | Based on the assumption that external computers (particularly, infected external computers) are connected to the Internet, and by considering the influence of the Internet topology on computer virus spreading, this paper establishes a novel computer virus propagation model with a complex-network approach. This model possesses a unique (viral) equilibrium which is globally attractive. Some numerical simulations are also given to illustrate this result. Further study shows that the computers with higher node degrees are more susceptible to infection than those with lower node degrees. In this regard, some appropriate protective measures are suggested. •This paper addresses the effects of the Internet topology and external computers on computer virus spreading.•An epidemiological model is established.•The unique (viral) equilibrium of the model is globally attractive.•Computers with higher node degrees are more susceptible to infections than those with lower node degrees.•Some appropriate protective measures are suggested. Based on the assumption that external computers (particularly, infected external computers) are connected to the Internet, and by considering the influence of the Internet topology on computer virus spreading, this paper establishes a novel computer virus propagation model with a complex-network approach. This model possesses a unique (viral) equilibrium which is globally attractive. Some numerical simulations are also given to illustrate this result. Further study shows that the computers with higher node degrees are more susceptible to infection than those with lower node degrees. In this regard, some appropriate protective measures are suggested. |
| Author | Liu, Wanping Jin, Jian Gan, Chenquan Yang, Xiaofan Zhu, Qingyi He, Li |
| Author_xml | – sequence: 1 givenname: Chenquan surname: Gan fullname: Gan, Chenquan email: gcq2010cqu@163.com organization: College of Computer Science, Chongqing University, Chongqing 400044, China – sequence: 2 givenname: Xiaofan surname: Yang fullname: Yang, Xiaofan email: cqu2010lab@gmail.com organization: College of Computer Science, Chongqing University, Chongqing 400044, China – sequence: 3 givenname: Wanping surname: Liu fullname: Liu, Wanping organization: College of Computer Science, Chongqing University, Chongqing 400044, China – sequence: 4 givenname: Qingyi surname: Zhu fullname: Zhu, Qingyi organization: College of Computer Science, Chongqing University, Chongqing 400044, China – sequence: 5 givenname: Jian surname: Jin fullname: Jin, Jian organization: College of Computer Science, Chongqing University, Chongqing 400044, China – sequence: 6 givenname: Li surname: He fullname: He, Li organization: College of Computer Science, Chongqing University, Chongqing 400044, China |
| BookMark | eNqFkU9v1DAQxSNUJNrST8DFRy5J_d8JEoeqAlqpEj20Z8s7mbBesnawvaV8e7y7iAMHepoZ-f2epffOmpMQAzbNO0Y7Rpm-3HQQcsgdp0x0jHeU61fNKetN3xpu5EndKTWtMlS-ac5y3tBKDUqeNv4-xcV9c8XHQOJEIG6XXcFEnnzaZbKKZU0cpJgzKWskt6G-BSzEhZHg8_5w818ofyBXh2PG57aqfsb0nbhlSdHB-m3zenJzxos_87x5_Pzp4fqmvfv65fb66q4FoYfSCqmkGp0WEzOaD7ByYCZc9Y72XIIZ-TAhaFTcKDB9L1cGhVY9650CgIGJ8-b90bd--2OHuditz4Dz7ALGXbZMSy6q2SBflirFNBfG7F3FUXrIIuFkl-S3Lv2yjNp9B3ZjDx3YfQeWcVs7qNTwDwW-HLIuyfn5BfbjkcUa1pPHZDN4DICjTwjFjtH_l_8NT0mngg |
| CitedBy_id | crossref_primary_10_1016_j_physa_2019_122862 crossref_primary_10_1515_nleng_2017_0094 crossref_primary_10_1016_j_physa_2022_128442 crossref_primary_10_1016_j_cja_2017_03_007 crossref_primary_10_1145_2812810 crossref_primary_10_1155_2021_6694098 crossref_primary_10_3390_su12083190 crossref_primary_10_1080_10798587_2016_1152768 crossref_primary_10_1177_03091333221134192 crossref_primary_10_1007_s11042_016_3376_4 crossref_primary_10_1109_TNSE_2019_2931943 crossref_primary_10_1109_ACCESS_2017_2700011 crossref_primary_10_2989_16073606_2019_1686438 crossref_primary_10_1016_j_chemosphere_2020_126660 crossref_primary_10_1016_j_cnsns_2016_07_014 crossref_primary_10_1016_j_ress_2021_107883 crossref_primary_10_1080_00207160_2016_1226499 crossref_primary_10_1088_1674_1056_acb75f crossref_primary_10_1016_j_pnucene_2018_12_008 crossref_primary_10_1016_j_cnsns_2016_07_012 crossref_primary_10_1016_j_physa_2020_125012 crossref_primary_10_1016_j_amc_2022_127405 crossref_primary_10_1016_j_physa_2019_122061 crossref_primary_10_1007_s12145_023_01000_z crossref_primary_10_1155_2014_735327 crossref_primary_10_1016_j_simpat_2021_102289 crossref_primary_10_1007_s11071_014_1521_z crossref_primary_10_3390_buildings14051192 crossref_primary_10_3390_info6040613 crossref_primary_10_1002_qre_3107 crossref_primary_10_1016_j_cnsns_2016_12_019 crossref_primary_10_1016_j_apr_2020_08_027 crossref_primary_10_1016_j_matcom_2021_10_004 crossref_primary_10_1007_s10035_024_01404_8 crossref_primary_10_3390_fractalfract7010022 crossref_primary_10_1016_j_amc_2020_125188 crossref_primary_10_1016_j_physa_2017_08_085 crossref_primary_10_1016_j_physa_2017_12_148 crossref_primary_10_3390_rs13193926 crossref_primary_10_1007_s00521_025_11490_1 crossref_primary_10_1109_TNSE_2019_2942163 crossref_primary_10_1016_j_physa_2021_125989 crossref_primary_10_1007_s11071_016_2600_0 crossref_primary_10_1016_j_nancom_2018_01_002 crossref_primary_10_1155_2017_2836865 crossref_primary_10_1109_ACCESS_2020_2984615 crossref_primary_10_1155_2017_7842596 crossref_primary_10_1016_j_jfranklin_2023_03_057 |
| Cites_doi | 10.1155/2012/259671 10.1016/j.nonrwa.2011.07.048 10.1103/PhysRevE.63.066117 10.1103/PhysRevLett.92.178701 10.1016/j.amc.2011.12.024 10.1155/2012/693695 10.1145/316194.316229 10.1016/j.amc.2012.10.027 10.1126/science.1061076 10.1103/PhysRevLett.105.218701 10.1016/j.apm.2009.06.011 10.1016/j.amc.2011.03.041 10.1103/PhysRevLett.86.3200 10.1016/0167-4048(89)90070-9 10.1016/j.chaos.2011.10.003 10.1214/07-AAP470 10.1016/S0167-9473(03)00113-0 10.1016/j.cnsns.2012.05.030 10.1080/00207160.2012.715388 10.1155/2012/925648 10.1109/TIT.2005.851780 10.1155/2012/106950 10.1016/j.nonrwa.2010.05.018 10.1103/PhysRevE.65.055103 10.1103/PhysRevE.77.036113 10.1103/RevModPhys.74.47 10.1016/S0375-9601(02)00152-4 10.1016/j.amc.2006.11.012 10.1103/PhysRevLett.90.028701 10.1016/j.amc.2010.07.064 10.1109/TSMCB.2005.854498 10.1016/j.nonrwa.2012.07.005 10.1109/TSMCB.2003.817098 10.1016/j.amc.2013.02.031 10.1016/j.amc.2007.02.004 10.1016/j.amc.2012.04.092 10.1016/j.cose.2009.10.002 10.1016/j.chaos.2011.09.002 10.1007/s11071-013-0889-5 10.1016/j.mcm.2011.12.010 10.1016/j.amc.2009.03.023 10.1103/PhysRevE.65.036104 10.1103/PhysRevE.83.025102 10.1140/epjb/e20020122 10.1016/j.amc.2008.09.025 |
| ContentType | Journal Article |
| Copyright | 2014 Elsevier B.V. |
| Copyright_xml | – notice: 2014 Elsevier B.V. |
| DBID | AAYXX CITATION 7U9 H94 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1016/j.cnsns.2013.12.026 |
| DatabaseName | CrossRef Virology and AIDS Abstracts AIDS and Cancer Research Abstracts Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef AIDS and Cancer Research Abstracts Virology and AIDS Abstracts Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | AIDS and Cancer Research Abstracts Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences |
| EISSN | 1878-7274 |
| EndPage | 2792 |
| ExternalDocumentID | 10_1016_j_cnsns_2013_12_026 S1007570413006072 |
| GroupedDBID | --K --M -01 -0A -0I -0Y -SA -S~ .~1 0R~ 1B1 1RT 1~. 1~5 29F 4.4 457 4G. 5GY 5VR 5VS 7-5 71M 8P~ 92M 9D9 9DA AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABAOU ABFNM ABJNI ABMAC ABNEU ABXDB ABYKQ ACAZW ACDAQ ACFVG ACGFS ACNNM ACRLP ADBBV ADEZE ADGUI ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AFUIB AGHFR AGUBO AGYEJ AHJVU AIEXJ AIGVJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CAJEA CAJUS CCEZO CCVFK CHBEP CS3 CUBFJ DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FA0 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA HVGLF HZ~ IHE J1W JJJVA JUIAU KOM M41 MHUIS MO0 N9A O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q-- Q-0 Q38 R-A R-I R2- RIG ROL RPZ RT1 RT9 S.. SDF SDG SES SEW SPC SPCBC SPD SSQ SST SSW SSZ T5K T8Q T8Y U1F U1G U5A U5I U5K UHS ~G- ~LA 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD 7U9 H94 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c369t-34545da63f17629cbac7feb8a0824c7d29fec6e5275c7884b7e365818a5ccc913 |
| ISICitedReferencesCount | 69 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000332401200021&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1007-5704 |
| IngestDate | Sat Sep 27 23:59:24 EDT 2025 Sat Sep 27 23:17:51 EDT 2025 Sat Nov 29 02:22:47 EST 2025 Tue Nov 18 22:51:06 EST 2025 Fri Feb 23 02:25:44 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 8 |
| Keywords | Computer virus Viral equilibrium Global attractivity Propagation model Complex network |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c369t-34545da63f17629cbac7feb8a0824c7d29fec6e5275c7884b7e365818a5ccc913 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1551623771 |
| PQPubID | 23462 |
| PageCount | 8 |
| ParticipantIDs | proquest_miscellaneous_1642308294 proquest_miscellaneous_1551623771 crossref_primary_10_1016_j_cnsns_2013_12_026 crossref_citationtrail_10_1016_j_cnsns_2013_12_026 elsevier_sciencedirect_doi_10_1016_j_cnsns_2013_12_026 |
| PublicationCentury | 2000 |
| PublicationDate | 2014-08-01 |
| PublicationDateYYYYMMDD | 2014-08-01 |
| PublicationDate_xml | – month: 08 year: 2014 text: 2014-08-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Communications in nonlinear science & numerical simulation |
| PublicationYear | 2014 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Fu, Small, Walker, Zhang (b0190) 2008; 77 Karsai, Kivelä, Pan, Kaski, Kertész, Barabási, Saramäki (b0195) 2011; 83 Cohen (b0005) 1990; 8 Lahrouz, Omari, Kiouach, Belmaâti (b0035) 2012; 218 Faloutsos, Faloutsos, Faloutsos (b0145) 1999; 29 Griffin, Brooks (b0165) 2006; 36 Gan, Yang, Liu, Zhu, Zhang (b0025) 2012; 2012 Mishra, Jha (b0040) 2007; 190 Gan, Yang, Zhu, Jin, He (b1025) 2013; 73 Denning (b0010) 1990 Ren, Yang, Zhu, Yang, Zhang (b0075) 2012; 13 Barthélemy, Barrat, Pastor-Satorras, Vespignani (b0155) 2004; 92 Moreno, Pastor-Satorras, Vespignani (b0205) 2002; 26 Yang, Yang, Wen, Liu (b0130) 2012; 89 Piqueira, Araujo (b0065) 2009; 213 Mishra, Pandey (b0055) 2011; 217 Zhang, Zhao, Wu (b0105) 2012; 2012 Yorke (b0240) 1967; 1 Zhu, Yang, Yang, Zhang (b0100) 2012; 218 Mishra, Jha (b0045) 2010; 34 Pastor-Satorras, Vespignani (b0220) 2001; 86 Szor (b0015) 2005 Draief, Ganesh, Massoulié (b0185) 2008; 18 Mishra, Pandey (b0050) 2010; 11 Billings, Spears, Schwartz (b0160) 2002; 297 Pastor-Satorras, Vespignani (b0215) 2001; 63 Yang, Yang, Wen, Liu (b0125) 2012; 2012 Zhang, Zhao, Wu, Deng (b0110) 2012; 2012 Ren, Yang, Yang, Xu, Yang (b0070) 2012; 45 Wierman, Marchette (b0230) 2004; 45 Yang, Yang (b0120) 2012; 219 Boguñá, Pastor-Satorras, Vespignani (b0210) 2003; 90 Castellano, Pastor-Satorras (b0175) 2010; 105 Pastor-Satorras, Vespignani (b0225) 2002; 65 Han, Tan (b0030) 2010; 217 Mishra, Saini (b0060) 2007; 188 Lloyd, May (b0200) 2001; 292 Yang, Yang, Liu, Zhu, Gan (b1230) 2013; 219 Chen, Carley (b0170) 2004; 34 Zhu, Yang, Yang, Ren (b0095) 2012; 17 Yang, Zhang, Li, Zhang (b0140) 2012; 2012 Albert, Barabási (b0150) 2002; 74 Wang, Zhang, Wang, Ma, Moon (b0085) 2010; 29 Yang, Yang, Zhu, Wen (b0135) 2013; 14 Zuo, Zhu, Zhou (b0235) 2005; 51 Yuan, Chen (b0090) 2008; 206 Dezsö, Barabási (b0180) 2002; 65 Yang, Yang (b0115) 2012; 2012 Feng, Liao, Li, Han (b0020) 2012; 56 Vargas-De-León (b0080) 2011; 44 Feng (10.1016/j.cnsns.2013.12.026_b0020) 2012; 56 Moreno (10.1016/j.cnsns.2013.12.026_b0205) 2002; 26 Pastor-Satorras (10.1016/j.cnsns.2013.12.026_b0225) 2002; 65 Chen (10.1016/j.cnsns.2013.12.026_b0170) 2004; 34 Dezsö (10.1016/j.cnsns.2013.12.026_b0180) 2002; 65 Yang (10.1016/j.cnsns.2013.12.026_b0135) 2013; 14 Gan (10.1016/j.cnsns.2013.12.026_b0025) 2012; 2012 Zhang (10.1016/j.cnsns.2013.12.026_b0105) 2012; 2012 Zuo (10.1016/j.cnsns.2013.12.026_b0235) 2005; 51 Pastor-Satorras (10.1016/j.cnsns.2013.12.026_b0220) 2001; 86 Szor (10.1016/j.cnsns.2013.12.026_b0015) 2005 Faloutsos (10.1016/j.cnsns.2013.12.026_b0145) 1999; 29 Zhu (10.1016/j.cnsns.2013.12.026_b0100) 2012; 218 Yuan (10.1016/j.cnsns.2013.12.026_b0090) 2008; 206 Cohen (10.1016/j.cnsns.2013.12.026_b0005) 1990; 8 Piqueira (10.1016/j.cnsns.2013.12.026_b0065) 2009; 213 Fu (10.1016/j.cnsns.2013.12.026_b0190) 2008; 77 Denning (10.1016/j.cnsns.2013.12.026_b0010) 1990 Han (10.1016/j.cnsns.2013.12.026_b0030) 2010; 217 Lloyd (10.1016/j.cnsns.2013.12.026_b0200) 2001; 292 Mishra (10.1016/j.cnsns.2013.12.026_b0040) 2007; 190 Albert (10.1016/j.cnsns.2013.12.026_b0150) 2002; 74 Mishra (10.1016/j.cnsns.2013.12.026_b0060) 2007; 188 Zhu (10.1016/j.cnsns.2013.12.026_b0095) 2012; 17 Gan (10.1016/j.cnsns.2013.12.026_b1025) 2013; 73 Draief (10.1016/j.cnsns.2013.12.026_b0185) 2008; 18 Mishra (10.1016/j.cnsns.2013.12.026_b0045) 2010; 34 Mishra (10.1016/j.cnsns.2013.12.026_b0055) 2011; 217 Barthélemy (10.1016/j.cnsns.2013.12.026_b0155) 2004; 92 Castellano (10.1016/j.cnsns.2013.12.026_b0175) 2010; 105 Yang (10.1016/j.cnsns.2013.12.026_b1230) 2013; 219 Zhang (10.1016/j.cnsns.2013.12.026_b0110) 2012; 2012 Wierman (10.1016/j.cnsns.2013.12.026_b0230) 2004; 45 Yang (10.1016/j.cnsns.2013.12.026_b0120) 2012; 219 Ren (10.1016/j.cnsns.2013.12.026_b0070) 2012; 45 Yorke (10.1016/j.cnsns.2013.12.026_b0240) 1967; 1 Boguñá (10.1016/j.cnsns.2013.12.026_b0210) 2003; 90 Wang (10.1016/j.cnsns.2013.12.026_b0085) 2010; 29 Griffin (10.1016/j.cnsns.2013.12.026_b0165) 2006; 36 Yang (10.1016/j.cnsns.2013.12.026_b0140) 2012; 2012 Billings (10.1016/j.cnsns.2013.12.026_b0160) 2002; 297 Pastor-Satorras (10.1016/j.cnsns.2013.12.026_b0215) 2001; 63 Mishra (10.1016/j.cnsns.2013.12.026_b0050) 2010; 11 Vargas-De-León (10.1016/j.cnsns.2013.12.026_b0080) 2011; 44 Lahrouz (10.1016/j.cnsns.2013.12.026_b0035) 2012; 218 Yang (10.1016/j.cnsns.2013.12.026_b0125) 2012; 2012 Yang (10.1016/j.cnsns.2013.12.026_b0115) 2012; 2012 Karsai (10.1016/j.cnsns.2013.12.026_b0195) 2011; 83 Yang (10.1016/j.cnsns.2013.12.026_b0130) 2012; 89 Ren (10.1016/j.cnsns.2013.12.026_b0075) 2012; 13 |
| References_xml | – volume: 56 start-page: 167 year: 2012 end-page: 179 ident: b0020 article-title: Hopf bifurcation analysis of a delayed viral infection model in computer networks publication-title: Math Comput Model – volume: 13 start-page: 376 year: 2012 end-page: 384 ident: b0075 article-title: A novel computer virus model and its dynamics publication-title: Nonlinear Anal: Real World Appl – volume: 213 start-page: 355 year: 2009 end-page: 360 ident: b0065 article-title: A modified epidemiological model for computer viruses publication-title: Appl Math Comput – year: 1990 ident: b0010 article-title: Computers under attack – volume: 63 year: 2001 ident: b0215 article-title: Epidemic dynamics and endemic states in complex networks publication-title: Phys Rev E – volume: 292 start-page: 1316 year: 2001 end-page: 1317 ident: b0200 article-title: How viruses spread among computers and people publication-title: Science – volume: 18 start-page: 359 year: 2008 end-page: 378 ident: b0185 article-title: Thresholds for virus spread on networks publication-title: Ann Appl Probab – volume: 190 start-page: 1207 year: 2007 end-page: 1212 ident: b0040 article-title: Fixed period of temporary immunity after run of anti-malicious software on computer nodes publication-title: Appl Math Comput – volume: 65 year: 2002 ident: b0225 article-title: Immunization of complex networks publication-title: Phys Rev E – volume: 17 start-page: 5117 year: 2012 end-page: 5124 ident: b0095 article-title: Modeling and analysis of the spread of computer virus publication-title: Commun Nonlinear Sci Numer Simul – volume: 14 start-page: 414 year: 2013 end-page: 422 ident: b0135 article-title: A computer virus model with graded cure rates publication-title: Nonlinear Anal: Real World Appl – volume: 34 start-page: 823 year: 2004 end-page: 833 ident: b0170 article-title: The impact of countermeasure propagation on the prevalence of computer viruses publication-title: IEEE Trans Syst Man Cybern B – volume: 219 start-page: 3914 year: 2012 end-page: 3922 ident: b0120 article-title: The spread of computer viruses under the influence of removable storage devices publication-title: Appl Math Comput – volume: 83 year: 2011 ident: b0195 article-title: Small but slow world: how network topology and burstiness slow down spreading publication-title: Phys Rev E – volume: 2012 year: 2012 ident: b0110 article-title: A stochastic dynamic model of computer viruses publication-title: Discrete Dyn Nat Soc – volume: 105 year: 2010 ident: b0175 article-title: Thresholds for epidemic spreading in networks publication-title: Phys Rev Lett – volume: 2012 year: 2012 ident: b0140 article-title: An SLBRS model with vertical transmission of computer virus over the internet publication-title: Discrete Dyn Nat Soc – volume: 188 start-page: 1476 year: 2007 end-page: 1482 ident: b0060 article-title: SEIRS epidemic model with delay for transmission of malicious objects in computer network publication-title: Appl Math Comput – volume: 51 start-page: 2962 year: 2005 end-page: 2966 ident: b0235 article-title: On the time complexity of computer viruses publication-title: IEEE Trans Inf Theory – volume: 74 start-page: 47 year: 2002 end-page: 97 ident: b0150 article-title: Statistical mechanics of complex networks publication-title: Rev Mod Phys – volume: 45 start-page: 74 year: 2012 end-page: 79 ident: b0070 article-title: A delayed computer virus propagation model and its dynamics publication-title: Chaos Solitons Fract – volume: 297 start-page: 261 year: 2002 end-page: 266 ident: b0160 article-title: A unified prediction of computer virus spread in connected networks publication-title: Phys Lett A – volume: 26 start-page: 521 year: 2002 end-page: 529 ident: b0205 article-title: Epidemic outbreaks in complex heterogeneous networks publication-title: Eur Phys J B – volume: 77 year: 2008 ident: b0190 article-title: Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization publication-title: Phys Rev E – volume: 2012 year: 2012 ident: b0115 article-title: Towards the epidemiological modeling of computer viruses publication-title: Discrete Dyn Nat Soc – volume: 11 start-page: 4335 year: 2010 end-page: 4341 ident: b0050 article-title: Fuzzy epidemic model for the transmission of worms in computer network publication-title: Nonlinear Anal: Real World Appl – volume: 92 year: 2004 ident: b0155 article-title: Velocity and hierarchical spread of epidemic outbreaks in scale-free networks publication-title: Phys Rev Lett – volume: 86 start-page: 3200 year: 2001 end-page: 3203 ident: b0220 article-title: Epidemic spreading in scale-free networks publication-title: Phys Rev Lett – volume: 65 year: 2002 ident: b0180 article-title: Halting viruses in scale-free networks publication-title: Phys Rev E – volume: 217 start-page: 8438 year: 2011 end-page: 8446 ident: b0055 article-title: Dynamic model of worms with vertical transmission in computer network publication-title: Appl Math Comput – volume: 44 start-page: 1106 year: 2011 end-page: 1110 ident: b0080 article-title: On the global stability of SIS, SIR and SIRS epidemic models with standard incidence publication-title: Chaos Solitons Fract – volume: 73 start-page: 1615 year: 2013 end-page: 1620 ident: b1025 article-title: The spread of computer virus under the effect of external computers publication-title: Nonlinear Dyn – volume: 217 start-page: 2520 year: 2010 end-page: 2526 ident: b0030 article-title: Dynamical behavior of computer virus on internet publication-title: Appl Math Comput – volume: 36 start-page: 198 year: 2006 end-page: 202 ident: b0165 article-title: A note on the spread of worms in scale-free networks publication-title: IEEE Trans Syst Man Cybern B – volume: 29 start-page: 410 year: 2010 end-page: 418 ident: b0085 article-title: Stability analysis of a SEIQV epidemic model for rapid spreading worms publication-title: Comput Secur – volume: 8 start-page: 149 year: 1990 end-page: 160 ident: b0005 article-title: A short course of computer viruses publication-title: Comput Secur – volume: 206 start-page: 357 year: 2008 end-page: 367 ident: b0090 article-title: Network virus-epidemic model with the point-to-group information propagation publication-title: Appl Math Comput – volume: 1 start-page: 353 year: 1967 end-page: 372 ident: b0240 article-title: Invariance for ordinary differential equations publication-title: Theory Comput Syst – volume: 2012 year: 2012 ident: b0105 article-title: An impulse model for computer viruses publication-title: Discrete Dyn Nat Soc – volume: 2012 year: 2012 ident: b0025 article-title: Propagation of computer virus under human intervention: a dynamical model publication-title: Discrete Dyn Nat Soc – volume: 218 start-page: 6519 year: 2012 end-page: 6525 ident: b0035 article-title: complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination publication-title: Appl Math Comput – volume: 2012 year: 2012 ident: b0125 article-title: Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability publication-title: Discrete Dyn Nat Soc – volume: 219 start-page: 8705 year: 2013 end-page: 8717 ident: b1230 article-title: Epidemics of computer viruses: A complex-network approach publication-title: Appl Math Comput – volume: 34 start-page: 710 year: 2010 end-page: 715 ident: b0045 article-title: SEIQRS model for the transmission of malicious objects in computer network publication-title: Appl Math Model – volume: 45 start-page: 3 year: 2004 end-page: 23 ident: b0230 article-title: Modeling computer virus prevalence with a susceptible-infectedsusceptible model with reintroduction publication-title: Comput Stat Data Anal – volume: 29 start-page: 251 year: 1999 end-page: 262 ident: b0145 article-title: On power-law relationships of the internet topology publication-title: ACM SIGCOMM Comput Commun Rev – volume: 90 year: 2003 ident: b0210 article-title: Absence of epidemic threshold in scale-free networks with degree correlations publication-title: Phys Rev Lett – volume: 89 start-page: 2307 year: 2012 end-page: 2314 ident: b0130 article-title: A novel computer virus propagation model and its dynamics publication-title: Int J Comput Math – year: 2005 ident: b0015 article-title: The art of computer virus research and defense – volume: 218 start-page: 11613 year: 2012 end-page: 11619 ident: b0100 article-title: Optimal control of computer virus under a delayed model publication-title: Appl Math Comput – volume: 2012 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0115 article-title: Towards the epidemiological modeling of computer viruses publication-title: Discrete Dyn Nat Soc doi: 10.1155/2012/259671 – year: 1990 ident: 10.1016/j.cnsns.2013.12.026_b0010 – volume: 13 start-page: 376 issue: 1 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0075 article-title: A novel computer virus model and its dynamics publication-title: Nonlinear Anal: Real World Appl doi: 10.1016/j.nonrwa.2011.07.048 – volume: 2012 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0110 article-title: A stochastic dynamic model of computer viruses publication-title: Discrete Dyn Nat Soc – volume: 1 start-page: 353 issue: 4 year: 1967 ident: 10.1016/j.cnsns.2013.12.026_b0240 article-title: Invariance for ordinary differential equations publication-title: Theory Comput Syst – volume: 63 issue: 6 year: 2001 ident: 10.1016/j.cnsns.2013.12.026_b0215 article-title: Epidemic dynamics and endemic states in complex networks publication-title: Phys Rev E doi: 10.1103/PhysRevE.63.066117 – volume: 92 issue: 17 year: 2004 ident: 10.1016/j.cnsns.2013.12.026_b0155 article-title: Velocity and hierarchical spread of epidemic outbreaks in scale-free networks publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.92.178701 – volume: 218 start-page: 6519 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0035 article-title: complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination publication-title: Appl Math Comput doi: 10.1016/j.amc.2011.12.024 – volume: 2012 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0125 article-title: Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability publication-title: Discrete Dyn Nat Soc doi: 10.1155/2012/693695 – volume: 29 start-page: 251 issue: 4 year: 1999 ident: 10.1016/j.cnsns.2013.12.026_b0145 article-title: On power-law relationships of the internet topology publication-title: ACM SIGCOMM Comput Commun Rev doi: 10.1145/316194.316229 – volume: 219 start-page: 3914 issue: 8 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0120 article-title: The spread of computer viruses under the influence of removable storage devices publication-title: Appl Math Comput doi: 10.1016/j.amc.2012.10.027 – volume: 292 start-page: 1316 issue: 5520 year: 2001 ident: 10.1016/j.cnsns.2013.12.026_b0200 article-title: How viruses spread among computers and people publication-title: Science doi: 10.1126/science.1061076 – volume: 105 issue: 21 year: 2010 ident: 10.1016/j.cnsns.2013.12.026_b0175 article-title: Thresholds for epidemic spreading in networks publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.105.218701 – volume: 34 start-page: 710 issue: 3 year: 2010 ident: 10.1016/j.cnsns.2013.12.026_b0045 article-title: SEIQRS model for the transmission of malicious objects in computer network publication-title: Appl Math Model doi: 10.1016/j.apm.2009.06.011 – volume: 217 start-page: 8438 issue: 21 year: 2011 ident: 10.1016/j.cnsns.2013.12.026_b0055 article-title: Dynamic model of worms with vertical transmission in computer network publication-title: Appl Math Comput doi: 10.1016/j.amc.2011.03.041 – volume: 86 start-page: 3200 issue: 14 year: 2001 ident: 10.1016/j.cnsns.2013.12.026_b0220 article-title: Epidemic spreading in scale-free networks publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.86.3200 – year: 2005 ident: 10.1016/j.cnsns.2013.12.026_b0015 – volume: 8 start-page: 149 year: 1990 ident: 10.1016/j.cnsns.2013.12.026_b0005 article-title: A short course of computer viruses publication-title: Comput Secur doi: 10.1016/0167-4048(89)90070-9 – volume: 45 start-page: 74 issue: 1 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0070 article-title: A delayed computer virus propagation model and its dynamics publication-title: Chaos Solitons Fract doi: 10.1016/j.chaos.2011.10.003 – volume: 18 start-page: 359 issue: 2 year: 2008 ident: 10.1016/j.cnsns.2013.12.026_b0185 article-title: Thresholds for virus spread on networks publication-title: Ann Appl Probab doi: 10.1214/07-AAP470 – volume: 45 start-page: 3 issue: 1 year: 2004 ident: 10.1016/j.cnsns.2013.12.026_b0230 article-title: Modeling computer virus prevalence with a susceptible-infectedsusceptible model with reintroduction publication-title: Comput Stat Data Anal doi: 10.1016/S0167-9473(03)00113-0 – volume: 17 start-page: 5117 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0095 article-title: Modeling and analysis of the spread of computer virus publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2012.05.030 – volume: 89 start-page: 2307 issue: 17 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0130 article-title: A novel computer virus propagation model and its dynamics publication-title: Int J Comput Math doi: 10.1080/00207160.2012.715388 – volume: 2012 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0140 article-title: An SLBRS model with vertical transmission of computer virus over the internet publication-title: Discrete Dyn Nat Soc doi: 10.1155/2012/925648 – volume: 51 start-page: 2962 issue: 8 year: 2005 ident: 10.1016/j.cnsns.2013.12.026_b0235 article-title: On the time complexity of computer viruses publication-title: IEEE Trans Inf Theory doi: 10.1109/TIT.2005.851780 – volume: 2012 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0025 article-title: Propagation of computer virus under human intervention: a dynamical model publication-title: Discrete Dyn Nat Soc doi: 10.1155/2012/106950 – volume: 11 start-page: 4335 issue: 5 year: 2010 ident: 10.1016/j.cnsns.2013.12.026_b0050 article-title: Fuzzy epidemic model for the transmission of worms in computer network publication-title: Nonlinear Anal: Real World Appl doi: 10.1016/j.nonrwa.2010.05.018 – volume: 65 issue: 5 year: 2002 ident: 10.1016/j.cnsns.2013.12.026_b0180 article-title: Halting viruses in scale-free networks publication-title: Phys Rev E doi: 10.1103/PhysRevE.65.055103 – volume: 2012 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0105 article-title: An impulse model for computer viruses publication-title: Discrete Dyn Nat Soc – volume: 77 issue: 3 year: 2008 ident: 10.1016/j.cnsns.2013.12.026_b0190 article-title: Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization publication-title: Phys Rev E doi: 10.1103/PhysRevE.77.036113 – volume: 74 start-page: 47 issue: 1 year: 2002 ident: 10.1016/j.cnsns.2013.12.026_b0150 article-title: Statistical mechanics of complex networks publication-title: Rev Mod Phys doi: 10.1103/RevModPhys.74.47 – volume: 297 start-page: 261 issue: 3–4 year: 2002 ident: 10.1016/j.cnsns.2013.12.026_b0160 article-title: A unified prediction of computer virus spread in connected networks publication-title: Phys Lett A doi: 10.1016/S0375-9601(02)00152-4 – volume: 188 start-page: 1476 issue: 2 year: 2007 ident: 10.1016/j.cnsns.2013.12.026_b0060 article-title: SEIRS epidemic model with delay for transmission of malicious objects in computer network publication-title: Appl Math Comput doi: 10.1016/j.amc.2006.11.012 – volume: 90 issue: 2 year: 2003 ident: 10.1016/j.cnsns.2013.12.026_b0210 article-title: Absence of epidemic threshold in scale-free networks with degree correlations publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.90.028701 – volume: 217 start-page: 2520 issue: 6 year: 2010 ident: 10.1016/j.cnsns.2013.12.026_b0030 article-title: Dynamical behavior of computer virus on internet publication-title: Appl Math Comput doi: 10.1016/j.amc.2010.07.064 – volume: 36 start-page: 198 issue: 1 year: 2006 ident: 10.1016/j.cnsns.2013.12.026_b0165 article-title: A note on the spread of worms in scale-free networks publication-title: IEEE Trans Syst Man Cybern B doi: 10.1109/TSMCB.2005.854498 – volume: 14 start-page: 414 issue: 1 year: 2013 ident: 10.1016/j.cnsns.2013.12.026_b0135 article-title: A computer virus model with graded cure rates publication-title: Nonlinear Anal: Real World Appl doi: 10.1016/j.nonrwa.2012.07.005 – volume: 34 start-page: 823 issue: 2 year: 2004 ident: 10.1016/j.cnsns.2013.12.026_b0170 article-title: The impact of countermeasure propagation on the prevalence of computer viruses publication-title: IEEE Trans Syst Man Cybern B doi: 10.1109/TSMCB.2003.817098 – volume: 219 start-page: 8705 issue: 16 year: 2013 ident: 10.1016/j.cnsns.2013.12.026_b1230 article-title: Epidemics of computer viruses: A complex-network approach publication-title: Appl Math Comput doi: 10.1016/j.amc.2013.02.031 – volume: 190 start-page: 1207 issue: 2 year: 2007 ident: 10.1016/j.cnsns.2013.12.026_b0040 article-title: Fixed period of temporary immunity after run of anti-malicious software on computer nodes publication-title: Appl Math Comput doi: 10.1016/j.amc.2007.02.004 – volume: 218 start-page: 11613 issue: 23 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0100 article-title: Optimal control of computer virus under a delayed model publication-title: Appl Math Comput doi: 10.1016/j.amc.2012.04.092 – volume: 29 start-page: 410 issue: 4 year: 2010 ident: 10.1016/j.cnsns.2013.12.026_b0085 article-title: Stability analysis of a SEIQV epidemic model for rapid spreading worms publication-title: Comput Secur doi: 10.1016/j.cose.2009.10.002 – volume: 44 start-page: 1106 year: 2011 ident: 10.1016/j.cnsns.2013.12.026_b0080 article-title: On the global stability of SIS, SIR and SIRS epidemic models with standard incidence publication-title: Chaos Solitons Fract doi: 10.1016/j.chaos.2011.09.002 – volume: 73 start-page: 1615 issue: 3 year: 2013 ident: 10.1016/j.cnsns.2013.12.026_b1025 article-title: The spread of computer virus under the effect of external computers publication-title: Nonlinear Dyn doi: 10.1007/s11071-013-0889-5 – volume: 56 start-page: 167 issue: 7–8 year: 2012 ident: 10.1016/j.cnsns.2013.12.026_b0020 article-title: Hopf bifurcation analysis of a delayed viral infection model in computer networks publication-title: Math Comput Model doi: 10.1016/j.mcm.2011.12.010 – volume: 213 start-page: 355 issue: 2 year: 2009 ident: 10.1016/j.cnsns.2013.12.026_b0065 article-title: A modified epidemiological model for computer viruses publication-title: Appl Math Comput doi: 10.1016/j.amc.2009.03.023 – volume: 65 issue: 3 year: 2002 ident: 10.1016/j.cnsns.2013.12.026_b0225 article-title: Immunization of complex networks publication-title: Phys Rev E doi: 10.1103/PhysRevE.65.036104 – volume: 83 issue: 2 year: 2011 ident: 10.1016/j.cnsns.2013.12.026_b0195 article-title: Small but slow world: how network topology and burstiness slow down spreading publication-title: Phys Rev E doi: 10.1103/PhysRevE.83.025102 – volume: 26 start-page: 521 issue: 4 year: 2002 ident: 10.1016/j.cnsns.2013.12.026_b0205 article-title: Epidemic outbreaks in complex heterogeneous networks publication-title: Eur Phys J B doi: 10.1140/epjb/e20020122 – volume: 206 start-page: 357 issue: 1 year: 2008 ident: 10.1016/j.cnsns.2013.12.026_b0090 article-title: Network virus-epidemic model with the point-to-group information propagation publication-title: Appl Math Comput doi: 10.1016/j.amc.2008.09.025 |
| SSID | ssj0016954 |
| Score | 2.3724067 |
| Snippet | •This paper addresses the effects of the Internet topology and external computers on computer virus spreading.•An epidemiological model is established.•The... Based on the assumption that external computers (particularly, infected external computers) are connected to the Internet, and by considering the influence of... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 2785 |
| SubjectTerms | Complex network Computer simulation Computer virus Global attractivity Internet Mathematical models Nonlinearity Propagation model Protective Spreading Topology Viral equilibrium |
| Title | Propagation of computer virus both across the Internet and external computers: A complex-network approach |
| URI | https://dx.doi.org/10.1016/j.cnsns.2013.12.026 https://www.proquest.com/docview/1551623771 https://www.proquest.com/docview/1642308294 |
| Volume | 19 |
| WOSCitedRecordID | wos000332401200021&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1878-7274 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0016954 issn: 1007-5704 databaseCode: AIEXJ dateStart: 19960101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lj9MwELZKlwMX3ojlJSOxpxK0Sdw45lZBK0BVWaSuVE6W6zgoq5J2m6Yqf4tfyPiVDctSLQcuUWXFqTLzxTMefzOD0CudbpllUsHqdywDkifHgciZCBQhhKqIhtJ2LRnTySSdzdhJp_PT58JsF7Qs092Orf6rqmEMlK1TZ_9B3c1DYQB-g9LhCmqH67UUf7KGffC3xhOUrm1Db1us66o3X-pcNmMbW8RJZXnmviR0M6myieuGd652QWk5400h8rZn-1umiSHZlrYKh1j3fO6QhllZ2zOiRa8qvrveYQ0JSDgKgCrP6wvYfnUx7VkhlnmLQ1TUhiEoypW3vyYCbka_wNCPoh3TCEnDqPPLsA6g9qltTNys06yFx7S96FLb9ccZcF0S8UrjYOMUZ29kWZW6UnsYm0hwdEUp7slnPjodj_l0OJsexaPVeaD7lOnz_KP4vcXMDXQQ0T5Lu-hg8HE4-9ScXSXM9N5r3sHXujKswj_--2_-0CXPwLg707vottun4IHF1z3UUeV9dMftWbCzCNUDVLTghpc59sjBBm5Yww1buGGAG_ZwwwA37GXRTKre4gG-BDbswfYQnY6G03cfAte-I5BxwjZBTMA7z0QS5yFYXCbnQtJczVMBXieRNItYrmSi-iBFSdOUzKmKwR8OU9GXUrIwfoS6gFT1GGGpwM6kWZSBOSR5JllKxZzEEnxfSnPKDlHkhcilq22vW6wsuCcxnnEjea4lz8OIg-QP0etm0sqWdtl_e-K1w91nY71ODvjaP_Gl1yWHtVsfyIlSLeuKm1PqKKY03HNPAhsenQBPnlzjOU_RrYvv6Rnqbta1eo5uyu2mqNYvHFJ_AZR5zjw |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Propagation+of+computer+virus+both+across+the+Internet+and+external+computers%3A+A+complex-network+approach&rft.jtitle=Communications+in+nonlinear+science+%26+numerical+simulation&rft.au=Gan%2C+Chenquan&rft.au=Yang%2C+Xiaofan&rft.au=Liu%2C+Wanping&rft.au=Zhu%2C+Qingyi&rft.date=2014-08-01&rft.issn=1007-5704&rft.volume=19&rft.issue=8&rft.spage=2785&rft.epage=2792&rft_id=info:doi/10.1016%2Fj.cnsns.2013.12.026&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1007-5704&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1007-5704&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1007-5704&client=summon |