The stability of a predator-prey system with linear mass-action functional response perturbed by white noise

The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic eco...

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Detalles Bibliográficos
Autores principales: Zhang, Qiumei, Wen, Xiangdan, Jiang, Daqing, Liu, Zhenwen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4762146/
https://www.ncbi.nlm.nih.gov/pubmed/26941782
http://dx.doi.org/10.1186/s13662-016-0776-8
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author Zhang, Qiumei
Wen, Xiangdan
Jiang, Daqing
Liu, Zhenwen
author_facet Zhang, Qiumei
Wen, Xiangdan
Jiang, Daqing
Liu, Zhenwen
author_sort Zhang, Qiumei
collection PubMed
description The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic ecoepidemiological model, and the stochastic asymptotic stability by Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.
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spelling pubmed-47621462016-03-01 The stability of a predator-prey system with linear mass-action functional response perturbed by white noise Zhang, Qiumei Wen, Xiangdan Jiang, Daqing Liu, Zhenwen Adv Differ Equ Research The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic ecoepidemiological model, and the stochastic asymptotic stability by Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings. Springer International Publishing 2016-02-18 2016 /pmc/articles/PMC4762146/ /pubmed/26941782 http://dx.doi.org/10.1186/s13662-016-0776-8 Text en © Zhang et al. 2016 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhang, Qiumei
Wen, Xiangdan
Jiang, Daqing
Liu, Zhenwen
The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
title The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
title_full The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
title_fullStr The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
title_full_unstemmed The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
title_short The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
title_sort stability of a predator-prey system with linear mass-action functional response perturbed by white noise
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4762146/
https://www.ncbi.nlm.nih.gov/pubmed/26941782
http://dx.doi.org/10.1186/s13662-016-0776-8
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