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Dynamics of a Stochastic Ratio-dependent Predator-prey System
Wei Zhang-Zhi,Wu Zheng,Hu Ling,Wang Liang-Long *
School of Mathematical Science, Anhui University, Hefei 230601
*Correspondence author
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Funding: 教育部博士点专项基金（No.20113401110001）, 安徽省高等学校省级自然科学研究项目（No.KJ2014A010）, 安徽省高等教育质量工程计划教学研究项目(2015jyxm057)；安徽大学本科质量提升计划项目（No.ZLTS2015052）
Opened online:15 December 2015
Accepted by: none
Citation: Wei Zhang-Zhi,Wu Zheng,Hu Ling.Dynamics of a Stochastic Ratio-dependent Predator-prey System [OL]. [15 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4669252
 
 
This paper is concerned with a stochastic ratio-dependent predator-preymodel of interacting populations with varible coefficients. By comparison theorem ofstochastic differential equations and It^{o} formula, the globalexistence of a unique positive solution of the ratio-dependentmodel is obtained. The stochastically ultimate boundedness and stochastic permanence for this model also are established.
Keywords:Ratio-dependent predator-prey system; It^{o} formula; Stochastic permanence
 
 
 

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