具有时滞和扩散的随机捕食-食饵系统

Abstract

Abstract:

In this paper, a stochastic predator-prey system with time delays and prey dispersal in two-patch environments is investigated. Firstly, a unique positive solution for the system with positive initial value is obtained. Secondly, the conditions for the extinction of species and persistent in the mean of the solution for system(1.1). Finally, computer simulations are carried out to verify our results.

Key words: Random perturbation, Time delays and dispersal, Predator-prey model, Extinction, Persistent in the mean

CLC Number:

O231

Zhang Shuwen. A Stochastic Predator-Prey System with Time Delays and Prey Dispersal[J].Acta mathematica scientia,Series A, 2015, 35(3): 592-603.

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References

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A Stochastic Predator-Prey System with Time Delays and Prey Dispersal

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