MULTIPLE POSITIVE PERIODIC SOLUTIONS IN A IMPULSIVE PREDATOR-PREY SYSTEM WITH TYPEⅣFUNCTIONAL RESPONSES

被引：0
作者：
Bi Ping Deptof MathEast China Normal UniversityShanghai Zhang Weipeng School of Mathand StatisticsNortheast Normal UniversityChangchun [200062 ,130024 ]
机构：
来源：
AnnalsofDifferentialEquations | 2007年 / 04期
关键词：
impulsive predator-prey systems; typeⅣfunctional response; positive periodic solution; coincidence degree;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
<正>The main purpose of this paper is to explore the existence of positive periodic solutions to impulsive predator-prey systems with typeⅣfunctional responses. Sufficient criteria are obtained for the existence of strictly positive periodic solutions.The approach is based on a continuation theorem in the coincidence degree theory as well as some prior estimates.This is also the first time that multiple positive periodic solutions are obtained using coincidence degree theory in impulsive ecological systems.
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页码：391 / 399
页数：9
相关论文
共 2 条
[1]  
Global Existence of Positive Periodic Solutions of Periodic Predator–Prey System with Infinite Delays[J] . Meng Fan,Ke Wang.Journal of Mathematical Analysis and Applications . 2001 (1)
[2]  
Multiple periodic solutions of the delayed predator-prey system with type Ⅳ functional responses. Y. M. Chen. Nonlinear Anal.Real World Appl . 2004
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