基于HollingⅢ型功能反应的具时滞捕食者-食饵系统的周期正解  

Positive Periodic Solution for a Delayed Diffusion Predator-prey System with Holling Type Ⅲ Functional Response

作　　者：冯涛[1] 梁峰[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241002

出　　处：《淮北师范大学学报（自然科学版）》2017年第2期9-18,共10页Journal of Huaibei Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11671013);安徽省自然科学基金项目(1308085MA08)

摘　　要：利用拓扑度拓展定理研究一类带HollingⅢ型功能反应的具时滞非自治两种群捕食者-食饵系统,得到周期正解存在的一些充分条件.给出例子验证结论的有效性.we study and time In this paper, by using generalized continuation theorem based on coincidence degree theory, a non-autonomous two-species predator-prey system with Holling type III functional response delay. Some sufficient conditions for the existence of positive periodic solution are obtained. We give a specific example to illustrate the usefulness of the main results in the final section

关 键 词：周期正解 捕食-食饵系统 拓扑度 HollingⅢ功能反应 扩散 

分 类 号：O193[理学—数学]