Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations

Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations

A stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic no...

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Main Authors: Qing Wang, Yongguang Yu, Shuo Zhang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/824507
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spelling doaj-a372eedb0f944ee0b3f432432512e5062021-07-02T13:43:53ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/824507824507Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive PerturbationsQing Wang0Yongguang Yu1Shuo Zhang2Department of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaA stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic noises, and the impulsive perturbations on the properties of the stochastic model are also discussed. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results.http://dx.doi.org/10.1155/2015/824507
collection DOAJ
language English
format Article
sources DOAJ
author Qing Wang
Yongguang Yu
Shuo Zhang
spellingShingle Qing Wang
Yongguang Yu
Shuo Zhang
Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations
Advances in Mathematical Physics
author_facet Qing Wang
Yongguang Yu
Shuo Zhang
author_sort Qing Wang
title Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations
title_short Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations
title_full Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations
title_fullStr Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations
title_full_unstemmed Dynamics of a General Stochastic Nonautonomous Lotka-Volterra Model with Delays and Impulsive Perturbations
title_sort dynamics of a general stochastic nonautonomous lotka-volterra model with delays and impulsive perturbations
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2015-01-01
description A stochastic nonautonomous N-species Lotka-Volterra model with delays and impulsive perturbations is investigated. For this model, sufficient conditions for extinction, nonpersistence in the mean, weak persistence and stochastic permanence are given, respectively. The influences of the stochastic noises, and the impulsive perturbations on the properties of the stochastic model are also discussed. The critical value between weak persistence and extinction is obtained. Finally, numerical simulations are given to support the theoretical analysis results.
url http://dx.doi.org/10.1155/2015/824507
work_keys_str_mv AT qingwang dynamicsofageneralstochasticnonautonomouslotkavolterramodelwithdelaysandimpulsiveperturbations
AT yongguangyu dynamicsofageneralstochasticnonautonomouslotkavolterramodelwithdelaysandimpulsiveperturbations
AT shuozhang dynamicsofageneralstochasticnonautonomouslotkavolterramodelwithdelaysandimpulsiveperturbations
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