具状态脉冲的单种群微分系统周期解的稳定性

Stability of periodic solution for a single population differential system with state-dependent impulse

首先利用流转换理论研究了单种群微分系统的轨线走向问题.在此基础上,建立映射结构,给出了具状态脉冲的单种群微分系统周期解稳定性分析的充分条件,克服了系统在脉冲点处不连续的困难,并通过例子说明了结论的有效性.

The trajectory direction of a single population differential system is studied through flow switchability theory. By setting up mapping structures, a sufficient condition for the stability of periodic solutions of a single population differential system with state-dependent impulse is given, which overcomes the discontinuous difficulty caused by impulse. At last the effectiveness is verified.