一类具有脉冲作用的两种群竞争系统正周期解的存在性

Existence of Positive Periodic Solutions for a Two-species Competition System with Impulses Effect

在脉冲微分方程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积分不等式技巧,给出了一类具有脉冲作用的非自治两种群Lotka-Volterra竞争系统正周期解存在性的充分条件。一个例子被用来描述结果的可行性和有效性。取得的结果在生态管理中具有现实意义和应用价值。关键词:脉冲;正周期解;竞争系统;重合度理论;

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 non-autonomous two-species Lotka-Volterra competition system with impulses effect is obtained.An example is presented to illustrate the feasibility and effectiveness of the results.The obtained result has practical significance and application value in ecological management.