时间测度上一类种群动力系统的周期解

Periodic Solutions for a Class of Population Dynamic System on Time Scales

在时间测度上研究一类具有时滞和Beddington-DeAngelis功能性反应的n种群食物链系统.利用Mawhin重合度理论建立了这一类系统的正周期解存在的充分性条件,从而使这一类系统的连续时间和离散时间情形即微分方程和差分方程得到了统一研究.

A class of nonlinear periodic n-species food-chain system with Beddington-DeAngelis functional response and time delays is studied on time scales.By using the continuation theorem based on coincidence degree theory,sufficient criterion are established for the existence of positive periodic solutions of the class systems,which has been unified and extensively applied in studying existence problems of these population models in differential equations and difference equations.