Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations

Ruihua Wu; Xiaoling Zou; Ke Wang

doi:10.1016/j.cnsns.2014.06.023

Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations

Ruihua Wu
, Xiaoling Zou^*
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
China University of Petroleum (East China)

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

This paper is concerned with a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects. The asymptotic properties are examined. Sufficient conditions for persistence and extinction are obtained, our results demonstrate that the impulse has important effects on the persistence and extinction of the species. We also show that the solution is stochastically ultimate bounded under some conditions. Finally, several simulation figures are introduced to confirm our main results.

Original language	English
Pages (from-to)	965-974
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	20
Issue number	3
DOIs	https://doi.org/10.1016/j.cnsns.2014.06.023
State	Published - 1 Mar 2015
Externally published	Yes

Keywords

Impulsive effects
Persistence and extinction
Predator-prey model
Stochastically ultimate boundedness

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10.1016/j.cnsns.2014.06.023

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title = "Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations",

abstract = "This paper is concerned with a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects. The asymptotic properties are examined. Sufficient conditions for persistence and extinction are obtained, our results demonstrate that the impulse has important effects on the persistence and extinction of the species. We also show that the solution is stochastically ultimate bounded under some conditions. Finally, several simulation figures are introduced to confirm our main results.",

keywords = "Impulsive effects, Persistence and extinction, Predator-prey model, Stochastically ultimate boundedness",

author = "Ruihua Wu and Xiaoling Zou and Ke Wang",

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N2 - This paper is concerned with a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects. The asymptotic properties are examined. Sufficient conditions for persistence and extinction are obtained, our results demonstrate that the impulse has important effects on the persistence and extinction of the species. We also show that the solution is stochastically ultimate bounded under some conditions. Finally, several simulation figures are introduced to confirm our main results.

AB - This paper is concerned with a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects. The asymptotic properties are examined. Sufficient conditions for persistence and extinction are obtained, our results demonstrate that the impulse has important effects on the persistence and extinction of the species. We also show that the solution is stochastically ultimate bounded under some conditions. Finally, several simulation figures are introduced to confirm our main results.

KW - Impulsive effects

KW - Persistence and extinction

KW - Predator-prey model

KW - Stochastically ultimate boundedness

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DO - 10.1016/j.cnsns.2014.06.023

M3 - 文章

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 3

ER -

Asymptotic behavior of a stochastic non-autonomous predator-prey model with impulsive perturbations

Abstract

Keywords

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