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
出处
《淮北师范大学学报(自然科学版)》
CAS
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)
关键词
周期正解
捕食-食饵系统
拓扑度
HollingⅢ功能反应
扩散
positive periodic solution
predator-prey system
coincidence degree
Holling type III function-al response
diffusion