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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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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.
作者 Wu Liping
出处 《Annals of Differential Equations》 2008年第1期65-74,共10页 微分方程年刊(英文版)
基金 Supported by the Foundation of Fujian Education Bureau(JA04156).
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二级参考文献1

  • 1Yang Kuang,Edoardo Beretta.Global qualitative analysis of a ratio-dependent predator–prey system[J].Journal of Mathematical Biology.1998(4)

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