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Global Dynamics of a Predator-prey Model

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【作者】 Huang RuiPan Qiang-youBao Lian-zhangWang Chun-peng

【Author】 Huang Rui;Pan Qiang-you;Bao Lian-zhang;Wang Chun-peng;School of Mathematical Sciences, South China Normal University;School of Mathematics, Jilin University;

【机构】 School of Mathematical Sciences, South China Normal UniversitySchool of Mathematics, Jilin University

【摘要】 In this paper, we consider a predator-prey model. A sufficient condition is presented for the stability of the equilibrium, which is different from the one for the model with Hassell-Varley type functional response. Furthermore, by constructing a Lyapunov function, we prove that the positive equilibrium is asymptotically stable.

【基金】 The NSF(11071099) of China
  • 【DOI】10.13447/j.1674-5647.2015.03.10
  • 【分类号】O175
  • 【下载频次】31
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