PERSISTENCE AND PERIODIC SOLUTION OF A PREDATOR-PREY SYSTEM WITH NONLINEAR DIFFUSION AND DELAY
一类具有非线性扩散和时滞的捕食系统的持续性与周期解

This paper considers a kind of nonautonomous Two-prey One-predator models with nonlinear diffusion, Beddington-Deangelis functional response, discrete delay and continuous time delay. It is proved that the system can be persistent under certain conditions. Furthermore, sufficient conditions which guarantee the global asymptotic stability of positive periodic solution of the system are obtained. Finally, an example is given to demonstrate the results.