Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species

In this paper, we complete the study of the (global) dynamics of predator-prey models introduced in a previous work, which considers the possibility of any (generic) functional response involved, and includes recruitment and capture in both species. More specifically, we provide demonstrations for t...

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Detalhes bibliográficos
Autores: Hoang, Manh Tuan, Valverde Fajardo, José Carlos
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universidad de Castilla-La Mancha
Repositorio:RUIdeRA. Repositorio Institucional de la UCLM
OAI Identifier:oai:ruidera.uclm.es:10578/44141
Acesso em linha:https://hdl.handle.net/10578/44141
Access Level:acceso abierto
Palavra-chave:Functional response
Lyapunov global stability and functions
Predator-prey models
Simulation
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spelling Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both speciesHoang, Manh TuanValverde Fajardo, José CarlosFunctional responseLyapunov global stability and functionsPredator-prey modelsSimulationIn this paper, we complete the study of the (global) dynamics of predator-prey models introduced in a previous work, which considers the possibility of any (generic) functional response involved, and includes recruitment and capture in both species. More specifically, we provide demonstrations for the global asymptotic stability of all the non-trivial steady states. To do that, we ingeniously divide the invariant set of the system by means of an adequate partition and construct appropriate Lyapunov functions for the subsets of such partition, what leads us to the global stability of each non-trivial equilibria. Thus, the work not only extends the precedent studies but also complete the study of them, providing technical ideas which can be useful in other contexts. Finally, numerical simulations associated to several specific examples are shown to illustrate their coherence with the theoretical findings.Faculty of Sciences and Mathematics, University of Nis (Serbia)202520252025info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://hdl.handle.net/10578/44141reponame:RUIdeRA. Repositorio Institucional de la UCLMinstname:Universidad de Castilla-La ManchaInglésSBPLY/21/180501/000/1742022-GRIN-34473info:eu-repo/semantics/openAccessoai:ruidera.uclm.es:10578/441412026-05-27T07:36:41Z
dc.title.none.fl_str_mv Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
title Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
spellingShingle Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
Hoang, Manh Tuan
Functional response
Lyapunov global stability and functions
Predator-prey models
Simulation
title_short Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
title_full Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
title_fullStr Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
title_full_unstemmed Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
title_sort Global asymptotic stability of a predator-prey model with general functional response and including recruitment and capture in both species
dc.creator.none.fl_str_mv Hoang, Manh Tuan
Valverde Fajardo, José Carlos
author Hoang, Manh Tuan
author_facet Hoang, Manh Tuan
Valverde Fajardo, José Carlos
author_role author
author2 Valverde Fajardo, José Carlos
author2_role author
dc.subject.none.fl_str_mv Functional response
Lyapunov global stability and functions
Predator-prey models
Simulation
topic Functional response
Lyapunov global stability and functions
Predator-prey models
Simulation
description In this paper, we complete the study of the (global) dynamics of predator-prey models introduced in a previous work, which considers the possibility of any (generic) functional response involved, and includes recruitment and capture in both species. More specifically, we provide demonstrations for the global asymptotic stability of all the non-trivial steady states. To do that, we ingeniously divide the invariant set of the system by means of an adequate partition and construct appropriate Lyapunov functions for the subsets of such partition, what leads us to the global stability of each non-trivial equilibria. Thus, the work not only extends the precedent studies but also complete the study of them, providing technical ideas which can be useful in other contexts. Finally, numerical simulations associated to several specific examples are shown to illustrate their coherence with the theoretical findings.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10578/44141
url https://hdl.handle.net/10578/44141
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv SBPLY/21/180501/000/174
2022-GRIN-34473
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Faculty of Sciences and Mathematics, University of Nis (Serbia)
publisher.none.fl_str_mv Faculty of Sciences and Mathematics, University of Nis (Serbia)
dc.source.none.fl_str_mv reponame:RUIdeRA. Repositorio Institucional de la UCLM
instname:Universidad de Castilla-La Mancha
instname_str Universidad de Castilla-La Mancha
reponame_str RUIdeRA. Repositorio Institucional de la UCLM
collection RUIdeRA. Repositorio Institucional de la UCLM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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