Asymptotic properties of a stochastic predator-prey system with Holling II functional response

作者：Lv Jingliang^*; Wang Ke

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(10): 4037-4048.

DOI：10.1016/j.cnsns.2011.01.015

• Predator-prey
• Stochastically ultimately bounded
• Stochastic permanence
• Persistent in mean
• Extinct

A stochastic predator-prey system with Holling II functional response is proposed and investigated. We show that there is a unique positive solution to the model for any positive initial value. And we show that the positive solution to the stochastic system is stochastically bounded. Moreover, under some conditions, we conclude that the stochastic model is stochastically permanent and persistent in mean.

• 出版日期2011-10
• 单位哈尔滨工业大学