GLOBAL STABILITY OF A PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND MUTUAL INTERFERENCE

被引：28
|
作者：
Li, Zhong [1 ,2 ]
Han, Maoan [1 ]
Chen, Fengde [2 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2014年 / 19卷 / 01期
关键词：
Predator-prey; stage structure; mutual interference; local stability; global attractivity; POSITIVE PERIODIC-SOLUTION; ASYMPTOTIC STABILITY; COMPETITION MODEL; VOLTERRA MODEL; TIME-DELAY; PERMANENCE; EXTINCTION; ATTRACTIVITY; EXISTENCE; DYNAMICS;
D O I：
10.3934/dcdsb.2014.19.173
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a predator-prey system with stage structure and mutual interference. By analyzing the characteristic equations, we study the local stability of the interior equilibrium of the system. Using an iterative method, we investigate the global stability of this equilibrium.
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页码：173 / 187
页数：15
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