PERMANENCE AND GLOBAL STABILITY OF POSITIVE SOLUTIONS TO TWO PREDATORSONE PREY SYSTEM WITH A DISCRETE TIME RATIO-DEPENDENT

查看全文 作　　者：Wu Liping (College of Math.and Computer Science,Fuzhou University,Fuzhou 350002;Dept.of Math.,Minjiang University,Fuzhou 350108)

出　　处：《Annals of Differential Equations》索引2008年第24卷第1期,共10页

基　　金：Supported by the Foundation of Fujian Education Bureau (JA04156). 摘　　要：A three-species ratio-dependent predator-prey discrete model is studied.As a result,sufficient conditions which guarantee the permanence of the model are obtained. In addition,by constructing a suitable Lyapunov function,we derive some sufficient conditions,which ensure that the positive solution of the model is stable and attracts all positive solutions.To illustrate the feasibility of the main results,we introduce an example with corresponding numeric simulations. 关键词：ratio-dependent predator-prey system discrete PERMANENCE global stability

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PERMANENCE AND GLOBAL STABILITY OF POSITIVE SOLUTIONS TO TWO PREDATORSONE PREY SYSTEM WITH A DISCRETE TIME RATIO-DEPENDENT

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