非自治时滞三种群食物链系统正周期解的存在性

Existence of Positive Periodic Solutions for Non-autonomous Three Species Food-chain System with Delays

提出一类非自治三种群食物链捕食者-食饵模型,其可以看作是对De Angelis-Bazykin模型的改进。基于重合度理论及其延拓定理,最终得到该非自治时滞系统正周期解存在的充分条件。

A non-autonomous three species food-chain predator-prey model is proposed in this work, which can be regarded as the modification of DeAngelis-Bazykin system. In the con-text of a continuation theorem based on coincidence degree, sufficient conditions which guaran-tee the existence of positive periodic solutions of the non-autonomous system with delays are fi-nally obtained.