GLOBAL STABILITY FOR A CLASS OF PREDATOR-PREY SYSTEMS

被引：463

作者：

HSU, SB ^{[1
]}

HUANG, TW ^{[1
]}

机构：

[1] KAOHSIUNG NORMAL UNIV,DEPT MATH,KAOHSIUNG,TAIWAN

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1995年 / 55卷 / 03期

关键词：

GLOBAL STABILITY; HOLLINGS TYPE 1; HOLLINGS TYPE 2; HOLLINGS TYPE 3; FUNCTIONAL RESPONSE; BELLING-TANNER MODEL; PREDATOR-PREY SYSTEM; DULAC CRITERION; LIAPUNOV FUNCTION; LIMIT CYCLE;

D O I：

10.1137/S0036139993253201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the question of global stability of the positive locally asymptotically stable equilibrium in a class of predator-prey systems. The Dulac's criterion is applied and Liapunov functions are constructed to establish the global stability.

引用

页码：763 / 783

页数：21

共 19 条

[1]

[Anonymous], 1991, MATH BIOL

[2] COEXISTENCE OF COMPETING PREDATORS IN A CHEMOSTAT [J].