On the dynamics of a stochastic ratio-dependent predator–prey model with a specific functional response

被引：7
|
作者：
Zhang Y. [1 ]
Gao S. [1 ]
Fan K. [2 ]
Dai Y. [1 ]
机构：
[1] Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, Ganzhou
[2] School of Mechanical and Electrical Engineering, Jiangxi University of Science and Technology, Ganzhou
来源：
Journal of Applied Mathematics and Computing | 2015年 / 48卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Extinction; Itô’s formula; Stochastically permanent; White noise;
D O I：
10.1007/s12190-014-0812-3
中图分类号：
学科分类号：
摘要：
In this paper, a new stochastic two-species predator–prey model which is ratio-dependent and a specific functional response is considered in, is proposed. The existence of a global positive solution to the model for any positive initial value is shown. Stochastically ultimate boundedness and uniform continuity are derived. Moreover, under some sufficient conditions, the stochastic permanence and extinction are established for the model. At last, numerical simulations are carried out to support our results. © 2014, Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：441 / 460
页数：19
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