一类捕食-食饵系统正周期解的存在性

华东师范大学学报(自然科学版) ›› 2010, Vol. 2010 ›› Issue (6): 178-185,.

一类捕食-食饵系统正周期解的存在性

刘兴波, 何六荣

华东师范大学数学系, 上海 200241

收稿日期:2009-12-01 修回日期:2010-03-01 出版日期:2010-11-25 发布日期:2010-11-25
通讯作者: 刘兴波

Existence of positive periodic solution for a kind of predator-prey systems

LIU Xing-bo, HE Liu-rong

Department of Mathematics, East China Normal University, Shanghai 200241, China

Received:2009-12-01 Revised:2010-03-01 Online:2010-11-25 Published:2010-11-25
Contact: LIU Xing-bo

摘要/Abstract

摘要： 讨论了具有时滞的非自治三种群捕食-食饵扩散系统. 利用重合度理论, 得到了正周期解存在的一些充分条件.

关键词: 捕食-食饵系统, 正周期解, 重合度, 捕食-食饵系统, 正周期解, 重合度

Abstract: A non-autonomous predator--prey diffusive system of three species with delay was analyzed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of positive periodic solution were established for the system.

Key words: positive periodic solution, coincidence degree, predator-prey system, positive periodic solution, coincidence degree

中图分类号:

O175

刘兴波;何六荣. 一类捕食-食饵系统正周期解的存在性[J]. 华东师范大学学报(自然科学版), 2010, 2010(6): 178-185,.

LIU Xing-bo;HE Liu-rong. Existence of positive periodic solution for a kind of predator-prey systems[J]. Journal of East China Normal University(Natural Sc, 2010, 2010(6): 178-185,.