具脉冲效应的时滞Leslie捕食与被捕食系统正周期解的存在性

上海大学学报(自然科学版)

具脉冲效应的时滞Leslie捕食与被捕食系统正周期解的存在性

梁志清1，2，赵强1，周盛凡2，3

1.广西玉林师范学院数学与计算机科学系，广西玉林 537000；
2.上海大学理学院，上海 200444； 3.上海师范大学应用数学系，上海 200234

收稿日期:2006-10-17 修回日期:1900-01-01 出版日期:2008-02-28 发布日期:2008-02-28
通讯作者: 梁志清1，2

Existence of Positive Periodic Solution for a Delay Leslie-Predator-Prey Sys
tem with Impulsive Effect

LIANG Zhi-qing1,2,ZHAO Qiang1,ZHOU Sheng-fan2,3

1. Department of Mathematics and Computer Science, Guangxi Yulin Normal University, Yulin 537000, Guangxi, China;
2. College of Sciences, Shanghai University, Shanghai 200444, China;
3. Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234,China

Received:2006-10-17 Revised:1900-01-01 Online:2008-02-28 Published:2008-02-28
Contact: LIANG Zhi-qing1,2

摘要/Abstract

摘要： 该文利用重合度理论中的延拓定理，讨论具脉冲效应的时滞Leslie捕食与被捕食系统正周期解的存在性,得到了系统正周期解存在的充分条件.

关键词: Leslie捕食与被捕食系统, 脉冲效应, 正周期解, 重合度

Abstract: By using a continuation theorem based on coincidence degree theory, we study the existence of positive periodic solution for a delayed nonautonomous Leslie predator-prey system with impulsive effect. Sufficient conditions are obtained for the existence of positive periodic solution.


Key words: coincidence degree, Les
lie predator-prey system, positive periodic solution, impulsive effect

中图分类号:

O175.12

梁志清;赵强;周盛凡;. 具脉冲效应的时滞Leslie捕食与被捕食系统正周期解的存在性[J]. 上海大学学报(自然科学版).

LIANG Zhi-qing;ZHAO Qiang;ZHOU Sheng-fan;. Existence of Positive Periodic Solution for a Delay Leslie-Predator-Prey Sys
tem with Impulsive Effect[J]. Journal of Shanghai University（Natural Science Edition）.