带有脉冲和收获项的时滞Crowly-Martin 型食饵-捕食系统的四个正周期解

Four positive periodic solutions of a delayed Crowly-Martin type predator-prey system with impulsive and harvesting terms

通过使用一般连续定理和一些微积分技巧,研究带有脉冲和收获项的时滞Crowly-Martin型食饵-捕食系统的动力学特征,并获得该时滞Crowly-Martin型食饵-捕食系统存在四个正周期解的充分条件.最后,给出一个例子去验证结论的有效性.由时滞Crowly-Martin型食饵-捕食系统多解性的研究过程可知,收获项会影响食饵-捕食系统的多个正周期规则.

Neralizea delayed Crowly-Martin type predator-prey systems with impulsive and harvesting terms were investigated. By using the ged continuation theorem and differential inequality skills, the existence of four positive periodic solutions were established for a delayed Crowly-Martin type predator-prey system with impulsive and harvesting terms. Moreover, an example was provided to illustrate the effectiveness of the proposed result. From multiple periodic solution of Crowly-Martin type predator-prey systems research process, harvesting terms will affect the multiple periodic solution rule.