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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2018
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Materias: | |
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. |
format | Online Article Text |
id | pubmed-6306177 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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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