A Stochastic Lotka-Volterra System and Its Asymptotic Behavior

被引：0
|
作者：
Hu, Liangjian [1 ]
Zhao, Juanjuan [1 ]
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
来源：
SYSTEMS SIMULATION AND SCIENTIFIC COMPUTING, PT I | 2012年 / 326卷
关键词：
Lotica-Volterra; Brownian motion; stochastic differential equation; asymptotic behavior; Ito formula;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate a new Lotka-Volterra system dx(t) = diag(x(1)(t), ..., x(n) (t))[(b + Ax(t))dt + sigma x(t)(p)dw(t))], where w(t) is a standard Brownian motion, and x(p) is defined as (x(1)(p), ..., x(n)(p))(T). Population systems perturbed by the white noise have recently wbeen studied by many authors in case of p = 0 and p = 1. The aim here is to find out what happens when p >= 1/2. This paper shows environmental Brownian noise suppresses explosions in this system. In addition, we examine the asymptotic behavior of the system.
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页码：440 / 450
页数：11
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