Cooperative random and stochastic differential equations

被引：0

作者：

Arnold, L

Chueshov, I

机构：

[1] Univ Bremen, Fachbereich 3, Inst Dynam Syst, D-28334 Bremen, Germany

[2] Kharkov State Univ, Dept Mech & Math, UA-310077 Kharkov, Ukraine

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2001年 / 7卷 / 01期

关键词：

cooperative differential equation; order-preserving or monotone random dynamical system; random equilibrium; random attractor; long-term behavior; limit set trichotomy;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a systematic study of order-preserving (or monotone) random dynamical systems which are generated by cooperative random or stochastic differential equations. Our main results concern the long-term behavior of these systems, in particular the existence of equilibria and attractors and a limit set trichotomy theorem. Several applications (models of the control of the protein synthesis in a cell, of gonorrhea infection and of symbiotic interaction in a random environment) are treated in detail.

引用

页码：1 / 33

页数：33

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