On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses

In this paper, we investigate the existence of positive periodic solutions for an n-species Lotka-Volterra system with distributed delays and impulsive effect. In the process we use integrating factors and convert the given Lotka-Volterra differential equation into an equivalent integral equation. T...

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Detalles Bibliográficos
Autores: Benhadri, Mimia, Caraballo Garrido, Tomás
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/137496
Acceso en línea:https://hdl.handle.net/11441/137496
https://doi.org/10.1007/s10883-021-09581-y
Access Level:acceso abierto
Palabra clave:Krasnoselskii’s fixed point theorem
positive periodic solutions
Lotka-Volterra competition systems
Variable delays
impulses
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spelling On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulsesBenhadri, MimiaCaraballo Garrido, TomásKrasnoselskii’s fixed point theorempositive periodic solutionsLotka-Volterra competition systemsVariable delaysimpulsesIn this paper, we investigate the existence of positive periodic solutions for an n-species Lotka-Volterra system with distributed delays and impulsive effect. In the process we use integrating factors and convert the given Lotka-Volterra differential equation into an equivalent integral equation. Then we construct appropriate mappings and use Krasnoselskii’s fixed point theorem to show the existence of a positive periodic solution of this system. In particular, the results improve some previous ones in the literature. Finally, as an application, we exhibit an example to illustrate the effectiveness of our abstract resultsSpringerEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/137496https://doi.org/10.1007/s10883-021-09581-yreponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Dynamical and Control Systems, 28, 399-422.https://doi.org/10.1007/s10883-021-09581-yinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1374962026-06-17T12:51:07Z
dc.title.none.fl_str_mv On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
title On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
spellingShingle On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
Benhadri, Mimia
Krasnoselskii’s fixed point theorem
positive periodic solutions
Lotka-Volterra competition systems
Variable delays
impulses
title_short On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
title_full On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
title_fullStr On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
title_full_unstemmed On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
title_sort On the existence of positive periodic solutions for n−species Lotka-Volterra competitive systems with distributed delays and impulses
dc.creator.none.fl_str_mv Benhadri, Mimia
Caraballo Garrido, Tomás
author Benhadri, Mimia
author_facet Benhadri, Mimia
Caraballo Garrido, Tomás
author_role author
author2 Caraballo Garrido, Tomás
author2_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Krasnoselskii’s fixed point theorem
positive periodic solutions
Lotka-Volterra competition systems
Variable delays
impulses
topic Krasnoselskii’s fixed point theorem
positive periodic solutions
Lotka-Volterra competition systems
Variable delays
impulses
description In this paper, we investigate the existence of positive periodic solutions for an n-species Lotka-Volterra system with distributed delays and impulsive effect. In the process we use integrating factors and convert the given Lotka-Volterra differential equation into an equivalent integral equation. Then we construct appropriate mappings and use Krasnoselskii’s fixed point theorem to show the existence of a positive periodic solution of this system. In particular, the results improve some previous ones in the literature. Finally, as an application, we exhibit an example to illustrate the effectiveness of our abstract results
publishDate 2021
dc.date.none.fl_str_mv 2021
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 https://hdl.handle.net/11441/137496
https://doi.org/10.1007/s10883-021-09581-y
url https://hdl.handle.net/11441/137496
https://doi.org/10.1007/s10883-021-09581-y
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Dynamical and Control Systems, 28, 399-422.
https://doi.org/10.1007/s10883-021-09581-y
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 Springer
publisher.none.fl_str_mv Springer
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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