B-D功能反应密度制约的离散非自治捕食者—食饵系统的周期解

Periodic Solution of Discrete Time Nonautonomous Density Dependent Predator-Prey System with B-D Functional Response

利用Gains和Mawhin重合度理论中的延拓定理,得到了一类具有Beddington-DeAngelis功能反应密度制约的离散非自治捕食者—食饵系统周期解存在性的充分条件,推广了某些已知的相关结果.这个结论不仅适用于离散时滞,同样也适用于分布时滞和偏差变元.

By using the continution theorem based on Gaines and Mawhin＇ s coincidence degree, sufficient and realistic conditions were obtained for the existence of positive periodic solutions for a discrete time nonautonomous density dependence predatorprey system with Beddington-DeAngelis functional response, and the results were improved. The results were applicable to distribute delays and deviating arguments.