一类具有相互干扰和脉冲效应系统正周期解的存在性

Existence of Positive Periodic Solutions for a System with Impulses Effect and Mutual Interference

在脉冲微分方程理论和拓扑度理论基础之上，通过应用迭合度理论的连续定理和一些积分不等式技巧，给出了一类具有相互干扰和脉冲效应的捕食者-食饵系统正周期解存在性的充分条件，推广和改进了一些文献中的相应结果，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 impulsive differential equations and topological degree theory, by using continuation theorem of coincidence degree theory and some skills of Integral Inequalities, the sufficient condition of the existence of positive periodic solutions for a predator-prey system with impulses effect and mutual interference is obtained. The corresponding results in some literatures are extended and improved, and the obtained result has practical significance and application value in ecological management.