STOCHASTIC LOTKA-VOLTERRA POPULATION DYNAMICS WITH INFINITE DELAY

被引：60

作者：

Wu, Fuke ^{[1
]}

Xu, Yong ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2009年 / 70卷 / 03期

关键词：

stochastic Lotka-Volterra model; infinite delay; global solutions; stochastic ultimate boundedness; moment average in time; GLOBAL STABILITY; SYSTEMS; EQUATIONS; MODELS; PERSISTENCE;

D O I：

10.1137/080719194

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discover in this paper that when environmental noise is strongly dependent on the population size, this noise may suppress the population explosion in a finite time and guarantee the global positive solution. When the environmental noise is weakly dependent on the population size, the conditions that guarantee the global positive solution are independent of this environmental noise. We also discuss the pth moment boundedness, stochastic ultimate boundedness, and moment average boundedness in time under two classes of conditions. These properties are natural requirements from the biological point of view.

引用

页码：641 / 657

页数：17

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