Double-parameter bifurcation of a predator-prey system in advective environments
This paper is concerned with a diffusive predator-prey system incorporating a generalist predator in open advective environments. By simultaneously considering the advection rates of the predator and prey as bifurcation parameter, we apply the implicit function theorem to establish the existence of...
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| Vydané v: | Journal of mathematical analysis and applications Ročník 553; číslo 1; s. 129823 |
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| Jazyk: | English |
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| ISSN: | 0022-247X |
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| Abstract | This paper is concerned with a diffusive predator-prey system incorporating a generalist predator in open advective environments. By simultaneously considering the advection rates of the predator and prey as bifurcation parameter, we apply the implicit function theorem to establish the existence of positive steady state of this system. Furthermore, we demonstrate that the positive steady state is locally asymptotically stable. These findings not only enrich the theoretical research on predator-prey models but also offer novel perspectives and methodologies for studying population dynamics in riverine ecosystems. |
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| AbstractList | This paper is concerned with a diffusive predator-prey system incorporating a generalist predator in open advective environments. By simultaneously considering the advection rates of the predator and prey as bifurcation parameter, we apply the implicit function theorem to establish the existence of positive steady state of this system. Furthermore, we demonstrate that the positive steady state is locally asymptotically stable. These findings not only enrich the theoretical research on predator-prey models but also offer novel perspectives and methodologies for studying population dynamics in riverine ecosystems. |
| ArticleNumber | 129823 |
| Author | Wang, Biao Deng, Longxian |
| Author_xml | – sequence: 1 givenname: Biao orcidid: 0000-0002-6367-0824 surname: Wang fullname: Wang, Biao email: wang.biao@xust.edu.cn – sequence: 2 givenname: Longxian surname: Deng fullname: Deng, Longxian email: 17769138431@163.com |
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| Cites_doi | 10.1007/s12080-009-0062-4 10.1137/15M1014486 10.1016/0022-247X(89)90296-5 10.1007/s00285-020-01545-3 10.1007/s00285-022-01756-w 10.2307/1939584 10.1016/j.jde.2022.02.043 10.1007/BF00363837 10.1137/0521018 10.1007/s00285-013-0730-2 10.2307/1941697 10.1016/j.jde.2015.02.004 10.1007/s00526-022-02319-z 10.1016/j.jde.2019.09.003 10.1080/17513758.2014.969336 10.1080/00036818808839819 10.1007/s11538-012-9792-3 10.1137/050636152 10.1016/j.jde.2023.05.004 10.1007/s12080-009-0068-y 10.1016/j.jfa.2018.03.006 10.1890/0012-9658(2001)082[1219:PPIRAE]2.0.CO;2 10.3934/dcds.2014.34.1701 |
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| Keywords | Implicit function theorem Predator-prey system Positive steady state Advective environment |
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Anal. doi: 10.1016/j.jfa.2018.03.006 – volume: 82 start-page: 1219 year: 2001 ident: 10.1016/j.jmaa.2025.129823_br0170 article-title: Population persistence in rivers and estuaries publication-title: Ecology doi: 10.1890/0012-9658(2001)082[1219:PPIRAE]2.0.CO;2 – volume: 34 start-page: 1701 year: 2014 ident: 10.1016/j.jmaa.2025.129823_br0020 article-title: Reaction-diffusion-advection models for the effects and evolution of dispersal publication-title: Discrete Contin. Dyn. Syst. doi: 10.3934/dcds.2014.34.1701 |
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| SubjectTerms | Advective environment Implicit function theorem Positive steady state Predator-prey system |
| Title | Double-parameter bifurcation of a predator-prey system in advective environments |
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