Long-time behaviour of a stochastic prey-predator model

被引：181

作者：

Rudnicki, R

机构：

[1] Polish Acad Sci, Math Inst, PL-40007 Katowice, Poland

[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2003年 / 108卷 / 01期

关键词：

prey-predator model; diffusion process; Markov semigroups; asymptotic stability;

D O I：

10.1016/S0304-4149(03)00090-5

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider a system of stochastic equations which models the population dynamics of a prey-predator type. We show that the distributions of the solutions of this system are absolutely continuous. We analyse long-time behaviour of densities of the distributions of the solutions. We prove that the densities can converge in L-1 to an invariant density or can converge weakly to a singular measure. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：93 / 107

页数：15

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