Dynamic of a stochastic predator–prey population

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摘要

A stochastic predator–prey model is studied. Firstly, we prove the existence, uniqueness and positivity of the solution. Then, we show the upper bounds for moments and growth rate of population. In some cases, the growth rate is negative and the population dies out rapidly. The paper ends with some reviews for the paper [13].

论文关键词:Stochastic prey–predator model,Moment boundedness,Asymptotic behaviour

论文评审过程:Available online 12 September 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.08.037