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.
作者
马超
赵治涛
MA Chao;ZHAO Zhitao(School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China)
出处
《黑龙江大学自然科学学报》
CAS
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)。
关键词
捕食者-食饵系统
功能性反应
周期解
重合度
predator-prey system
functional response
periodic solution
coincidence degree
