Dynamics of a stochastic predator-prey model with mutual interference  

作　　者：Kai Wang Yanling Zhu 

机构地区：[1]Department of Applied MathematicsAnhui University of Finance and Economics Bengbu 233030, P. R. China

出　　处：《International Journal of Biomathematics》2014年第3期51-72,共22页生物数学学报（英文版）

摘　　要：In this paper, a stochastic predator-prey （PP） model with mutual interference is considered. Some sufficient conditions for the existence of globally positive solution, non- persistence in the mean, weak persistence in the mean, strong persistence in the mean and almost surely extinction of the the model are established. Moreover, the thresh- old between weak persistence in the mean and almost surely extinction of the prey is obtained. Some examples are given to show the feasibility of the results by numeri- cal simulation. It is significant that such a model is firstly proposed with stochastic perturbation.

关 键 词：Stochastic predator-prey model Brownian motion pathwise estimation PERSISTENCE extinction. 

分 类 号：Q141[生物学—生态学] TP273.2[生物学—普通生物学]