Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing

In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect effects are time dependent and periodic. We first prove the existence of a global p...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Colucci, Renato, Han, Xiaoying
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2016
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/44883
Acceso en línea:http://hdl.handle.net/11441/44883
https://doi.org/10.1016/j.nonrwa.2016.03.007
Access Level:acceso abierto
Palabra clave:Nonautonomous dynamical system
Population dynamics
Pullback attractor
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spelling Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcingCaraballo Garrido, TomásColucci, RenatoHan, XiaoyingNonautonomous dynamical systemPopulation dynamicsPullback attractorIn this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect effects are time dependent and periodic. We first prove the existence of a global pullback attractor. We then estimate the fractal dimension of the attractor, which is done for a subclass by using Leonov’s theorem and constructing a proper Lyapunov function. To have more insights about the dynamical behavior of the system we also study the coexistence of the three species. Numerical examples are provided to illustrate all the theoretical results.Fondo Europeo de Desarrollo RegionalMinisterio de Economía y CompetitividadConsejería de Innovación, Ciencia y Empresa (Junta de Andalucía)ElsevierEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/44883https://doi.org/10.1016/j.nonrwa.2016.03.007reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNonlinear Analysis: Real World Applications, 31, 661-680.info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P/2010/FQM314P12-FQM-1492http://ac.els-cdn.com/S1468121816300013/1-s2.0-S1468121816300013-main.pdf?_tid=5cca7286-78bb-11e6-bfd7-00000aab0f27&acdnat=1473665859_053af6aa42686000f20e3d15d9f2641cinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/448832026-06-17T12:51:07Z
dc.title.none.fl_str_mv Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
title Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
spellingShingle Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
Caraballo Garrido, Tomás
Nonautonomous dynamical system
Population dynamics
Pullback attractor
title_short Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
title_full Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
title_fullStr Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
title_full_unstemmed Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
title_sort Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Colucci, Renato
Han, Xiaoying
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Colucci, Renato
Han, Xiaoying
author_role author
author2 Colucci, Renato
Han, Xiaoying
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Nonautonomous dynamical system
Population dynamics
Pullback attractor
topic Nonautonomous dynamical system
Population dynamics
Pullback attractor
description In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect effects are time dependent and periodic. We first prove the existence of a global pullback attractor. We then estimate the fractal dimension of the attractor, which is done for a subclass by using Leonov’s theorem and constructing a proper Lyapunov function. To have more insights about the dynamical behavior of the system we also study the coexistence of the three species. Numerical examples are provided to illustrate all the theoretical results.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/44883
https://doi.org/10.1016/j.nonrwa.2016.03.007
url http://hdl.handle.net/11441/44883
https://doi.org/10.1016/j.nonrwa.2016.03.007
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Nonlinear Analysis: Real World Applications, 31, 661-680.
info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P/
2010/FQM314
P12-FQM-1492
http://ac.els-cdn.com/S1468121816300013/1-s2.0-S1468121816300013-main.pdf?_tid=5cca7286-78bb-11e6-bfd7-00000aab0f27&acdnat=1473665859_053af6aa42686000f20e3d15d9f2641c
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 Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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