The Stationary Distribution and Extinction of Generalized Multispecies Stochastic Lotka-Volterra Predator-Prey System

被引：2

作者：

Yin, Fancheng ^{[1
]}

Yu, Xiaoyan ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

基金：

美国国家科学基金会;

关键词：

ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; GLOBAL ATTRACTIVITY; COMPETITION SYSTEMS; DYNAMICAL BEHAVIOR; NEURAL-NETWORKS; PTH MOMENT; MODEL; PERSISTENCE; PERMANENCE;

D O I：

10.1155/2015/479326

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with the existence of stationary distribution and extinction for multispecies stochastic Lotka-Volterra predator-prey system. The contributions of this paper are as follows. (a) By using Lyapunov methods, the sufficient conditions on existence of stationary distribution and extinction are established. (b) By using the space decomposition technique and the continuity of probability, weaker conditions on extinction of the systemare obtained. Finally, a numerical experiment is conducted to validate the theoretical findings.

引用

页数：10

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