提出了一类具有时滞的一个捕食者一两个竞争被捕食者生态动力学模型.首先,利用Krasnoselskii不动点定理研究了系统的正周期解的存在性;然后通过构造Lyapunov函数方法获得了正周期解全局收敛的一个充分条件:最后.给出一个例子以验证理论结果的正确性.
In this paper, we primarily explore a delayed one predator feeding on two competing prey species Lotka-Volterra system. We first study the existence of positive periodic solutions of this model by using the Krasnoselskii's fixed point theorem, and then present a sufficient condition for the global attractivity of periodic solutions with the help of the construction of Lyapunov function. Finally, an example is presented to illustrate tlhe main results.