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

PERSISTENCE AND PERIODIC SOLUTION OF A PREDATOR-PREY SYSTEM WITH NONLINEAR DIFFUSION AND DELAY

研究了一类具有非线性扩散和Beddington-Deangelis功能性反应,且同时具有连续时滞和离散时滞的非自治两食饵一捕食者系统,证明了在适当条件下该系统是一致持久的,并且得到了系统正周期解全局渐近稳定的充分条件.最后,给出一个例子以说明得到的结果.

This paper considers a kind of nonautonomous Two-prey One-predator models with nonlinear diffusion, Beddington-Deangelis functional response, discrete delay and contin- uous 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.