具比率依赖Holling Ⅲ型功能性反应的非自治捕食者-食饵系统的正周期解  

Positive periodic solution of a non-autonomous predator-prey system with ratio-dependent Holling-Ⅲ functional response

作　　者：马超 赵治涛[1] MA Chao;ZHAO Zhitao(School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2021年第5期521-528,共8页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(31570492)。

摘　　要：主要研究了一类具有比率依赖HollingⅢ型功能性反应的非自治捕食者-食饵系统的周期解问题。借助于重合度延拓定理,得到了该系统正周期解存在的充分条件,通过数值模拟验证了所得结论的有效性。The existence of positive periodic solutions for a non-autonomous predator-prey system with ratio-dependent Holling Ⅲ functional response is studied.By using a continuation theorem based on coincidence degree theory,some suffcient conditions of the existence of positive periodic solution for the considered system are obtained.Furthermore,numerical simulations are represented to illustrate the feasibility of our main results.

关 键 词：捕食者-食饵系统 功能性反应 周期解 重合度 

分 类 号：O29[理学—应用数学]