Oscillatory dynamics in a discrete predator-prey model with distributed delays

This work aims to discuss a predator-prey system with distributed delay. Various conditions are presented to ensure the existence and global asymptotic stability of positive periodic solution of the involved model. The method is based on coincidence degree theory and the idea of Lyapunov function. A...

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Detalles Bibliográficos
Autores principales: Xu, Changjin, Chen, Lilin, Li, Peiluan, Guo, Ying
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2018
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6306177/
https://www.ncbi.nlm.nih.gov/pubmed/30586403
http://dx.doi.org/10.1371/journal.pone.0208322
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author Xu, Changjin
Chen, Lilin
Li, Peiluan
Guo, Ying
author_facet Xu, Changjin
Chen, Lilin
Li, Peiluan
Guo, Ying
author_sort Xu, Changjin
collection PubMed
description This work aims to discuss a predator-prey system with distributed delay. Various conditions are presented to ensure the existence and global asymptotic stability of positive periodic solution of the involved model. The method is based on coincidence degree theory and the idea of Lyapunov function. At last, simulation results are presented to show the correctness of theoretical findings.
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spelling pubmed-63061772019-01-08 Oscillatory dynamics in a discrete predator-prey model with distributed delays Xu, Changjin Chen, Lilin Li, Peiluan Guo, Ying PLoS One Research Article This work aims to discuss a predator-prey system with distributed delay. Various conditions are presented to ensure the existence and global asymptotic stability of positive periodic solution of the involved model. The method is based on coincidence degree theory and the idea of Lyapunov function. At last, simulation results are presented to show the correctness of theoretical findings. Public Library of Science 2018-12-26 /pmc/articles/PMC6306177/ /pubmed/30586403 http://dx.doi.org/10.1371/journal.pone.0208322 Text en © 2018 Xu et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Xu, Changjin
Chen, Lilin
Li, Peiluan
Guo, Ying
Oscillatory dynamics in a discrete predator-prey model with distributed delays
title Oscillatory dynamics in a discrete predator-prey model with distributed delays
title_full Oscillatory dynamics in a discrete predator-prey model with distributed delays
title_fullStr Oscillatory dynamics in a discrete predator-prey model with distributed delays
title_full_unstemmed Oscillatory dynamics in a discrete predator-prey model with distributed delays
title_short Oscillatory dynamics in a discrete predator-prey model with distributed delays
title_sort oscillatory dynamics in a discrete predator-prey model with distributed delays
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6306177/
https://www.ncbi.nlm.nih.gov/pubmed/30586403
http://dx.doi.org/10.1371/journal.pone.0208322
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AT chenlilin oscillatorydynamicsinadiscretepredatorpreymodelwithdistributeddelays
AT lipeiluan oscillatorydynamicsinadiscretepredatorpreymodelwithdistributeddelays
AT guoying oscillatorydynamicsinadiscretepredatorpreymodelwithdistributeddelays

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