带有脉冲的捕食与被捕食系统的周期解

Periodic Solutions for a Predator-Prey System with Impulsive Effects

  • 摘要: 通过对具有周期系数的Lotka-Volterra捕食与被捕食系统旋加外界的干涉,得到了带有脉冲的捕食与捕食系统,利用拓扑宽理论研究了在脉冲条件下这种系统的周期解,通过适量地增加食饵和达度地减少捕食者的数量,找到了先验界,定义了一个新的Fredholm算子,得到了脉冲捕食系统周期解存在的充分条件。

     

    Abstract: By imposing external influence on the Lokta Volterra predator prey system with periodic coefficients, a predator prey system with impulsive effects is obtained. Based on topological degree theory, periodic solutions for this system under impulsive conditions are studied. By reasonably increasing the quantity of preys and decreasing the quantity of predators, a prioyi bounds are obtained and a new Fredholm operator is defined. At last, a group of sufficient conditions for existence of periodic solutions are given.

     

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