A predator-prey system with stage-structure for predator

被引：326

作者：

Wang, WD ^{[1
]}

Chen, LS ^{[1
]}

机构：

[1] ACAD SINICA,MATH INST,BEIJING 100080,PEOPLES R CHINA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1997年 / 33卷 / 08期

基金：

中国国家自然科学基金;

关键词：

permanence; stability; periodic; stage structure; population;

D O I：

10.1016/S0898-1221(97)00056-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the asymptotic behavior of a predator-prey model with stage structure. It is found that an orbitally asymptotically stable periodic- orbit exists in that model. When time delay due to gestation of predator and time delay from crowding effect of prey are incorporated, we establish the condition for the permanence of populations and sufficient conditions under which positive equilibrium of the model is globally stable.

引用

页码：83 / 91

页数：9

共 13 条

[1] ANALYSIS OF A MODEL REPRESENTING STAGE-STRUCTURED POPULATION-GROWTH WITH STATE-DEPENDENT TIME-DELAY [J].