A New Perspective on Determining Disease Invasion and Population Persistence in Heterogeneous Environments.
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| Názov: | A New Perspective on Determining Disease Invasion and Population Persistence in Heterogeneous Environments. |
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| Autori: | Yazdanbakhsh P; Department of Mathematics and Computer Science, Rollins College, Winter Park, Florida, 32789, USA. pyazdan@rollins.edu., Anderson M; Department of Mathematics and Computer Science, Rollins College, Winter Park, Florida, 32789, USA., Shuai Z; Department of Mathematics, University of Central Florida, Orlando, Florida, 32816, USA. |
| Zdroj: | Journal of mathematical biology [J Math Biol] 2025 Nov 05; Vol. 91 (6), pp. 75. Date of Electronic Publication: 2025 Nov 05. |
| Spôsob vydávania: | Journal Article |
| Jazyk: | English |
| Informácie o časopise: | Publisher: Springer Verlag Country of Publication: Germany NLM ID: 7502105 Publication Model: Electronic Cited Medium: Internet ISSN: 1432-1416 (Electronic) Linking ISSN: 03036812 NLM ISO Abbreviation: J Math Biol Subsets: MEDLINE |
| Imprint Name(s): | Publication: Berlin : Springer Verlag Original Publication: Wien, New York, Springer-Verlag. |
| Výrazy zo slovníka MeSH: | Population Dynamics*/statistics & numerical data , Models, Biological* , Communicable Diseases*/epidemiology , Communicable Diseases*/transmission , Epidemiological Models*, Humans ; Mathematical Concepts ; Animals ; Ecosystem ; Computer Simulation |
| Abstrakt: | Competing Interests: Declarations. Conflict of Interest: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in the manuscript. We introduce a new quantity known as the network heterogeneity index, denoted by INLINEMATH , to facilitate the investigation of disease propagation and population persistence in heterogeneous environments. Our mathematical analysis reveals that this index embodies the structure of such networks, the disease or population dynamics of patches, and the dispersal between patches. We present multiple representations of the network heterogeneity index and demonstrate that INLINEMATH . Moreover, we explore the applications of INLINEMATH in epidemiology and ecology across various heterogeneous environments, highlighting its effectiveness in determining disease invasibility and population persistence. (© 2025. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.) |
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| Contributed Indexing: | Keywords: Group inverse; Laplacian matrix; Network average; Network heterogeneity index; Perron eigenvalue; SIS model; Single species; Spatial population dynamics |
| Entry Date(s): | Date Created: 20251105 Date Completed: 20251105 Latest Revision: 20251105 |
| Update Code: | 20251105 |
| DOI: | 10.1007/s00285-025-02302-0 |
| PMID: | 41191132 |
| Databáza: | MEDLINE |
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Nájsť tento článok vo Web of Science | Abstrakt: | Competing Interests: Declarations. Conflict of Interest: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in the manuscript.<br />We introduce a new quantity known as the network heterogeneity index, denoted by INLINEMATH , to facilitate the investigation of disease propagation and population persistence in heterogeneous environments. Our mathematical analysis reveals that this index embodies the structure of such networks, the disease or population dynamics of patches, and the dispersal between patches. We present multiple representations of the network heterogeneity index and demonstrate that INLINEMATH . Moreover, we explore the applications of INLINEMATH in epidemiology and ecology across various heterogeneous environments, highlighting its effectiveness in determining disease invasibility and population persistence.<br /> (© 2025. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.) |
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| ISSN: | 1432-1416 |
| DOI: | 10.1007/s00285-025-02302-0 |