Dynamical behavior of Lotka-Volterra competition systems: non-autonomous bistable case and the effect

被引：97

作者：

Du, NH

Kon, R ^{[1
]}

Sato, K

Takeuchi, Y

机构：

[1] Shizuoka Univ, Dept Syst Engn, Oya, Shizuoka 422, Japan

[2] Hanoi Natl Univ, Fac Math Mech & Informat, Hanoi, Vietnam

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 170卷 / 02期

基金：

日本学术振兴会;

关键词：

Lotka-Volterra equation; competition; bistable; telegraph noise;

D O I：

10.1016/j.cam.2004.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the study of trajectory behavior of Lotka-Volterra competition bistable systems and systems with telegraph noises. We proved that for bistable systems, there exists a unique solution, bounded above and below by positive constants. The oscillatory situation of systems with telegraph noises is pointed out. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：399 / 422

页数：24

共 11 条

[1] ON THE NONAUTONOMOUS VOLTERRA-LOTKA COMPETITION EQUATIONS [J].