时标上一类时滞捕食系统周期解的存在性

Existence of Periodic Solutions for a Predator-prey System with Time Delays on Time Scales

在时标理论和拓扑度理论基础之上,通过应用重合度理论的连续定理和一些时标上积分不等式技巧,给出了时标上一类具有可变时滞的非自治捕食者-食饵系统周期解存在性的充分条件。取得的结果在生态管理中具有现实意义和应用价值。

Based on the theory of the time scales and topological degree theory, by using continuation theorem of coincidence degree theory and some skills of integral inequalities on time scales, the sufficient condition of the existence of periodic solutions for a non-autonomous predator-prey system with time delays on time scales is obtained. The obtained result has practical significance and application value in ecological management.