On hybrid competitive Lotka-Volterra ecosystems

被引：136

作者：

Zhu, C. ^{[1
]}

Yin, G. ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

基金：

美国国家科学基金会;

关键词：

Lotka-Volterra model; Random environment; Regime-switching diffusion; Asymptotic behavior; RANDOM PERTURBATIONS; POPULATION-DYNAMICS; REPLICATOR DYNAMICS; BEHAVIOR; ENVIRONMENT; SYSTEMS; STABILITY; MODEL; NOISE;

D O I：

10.1016/j.na.2009.01.166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with competitive Lotka-Volterra model in random environments. It uses regime-switching diffusion to model the dynamic of population sizes of n different species in a ecosystem subject to the random changes of the external environment. We show that the positive solution of the associated stochastic differential equation does not explode in finite time with probability 1. Moreover, we demonstrate that the solution is stochastically bounded, continuous, and has finite moments. Furthermore, we obtain certain asymptotic results regarding large time behavior and present some numerical experimental results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E1370 / E1379

页数：10

共 31 条

[1] Optimal harvesting of stochastically fluctuating populations [J].