Global stability analysis of a ratio-dependent predator-prey system  

作　　者：鲁铁军 王美娟 刘妍 

机构地区：[1]College of Science,University of Shanghai for Science and Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第4期495-500,共6页应用数学和力学（英文版）

摘　　要：A ratio dependent predator-prey system with Holling type Ⅲ functional response is considered. A sufficient condition of the global asymptotic stability for the positive equilibrium and existence of the limit cycle are given by studying locally asymp- totic stability of the positive equilibrium. The condition under which positive equilibrium is not a hyperbolic equilibrium is investigated using Hopf bifurcation.A ratio dependent predator-prey system with Holling type Ⅲ functional response is considered. A sufficient condition of the global asymptotic stability for the positive equilibrium and existence of the limit cycle are given by studying locally asymp- totic stability of the positive equilibrium. The condition under which positive equilibrium is not a hyperbolic equilibrium is investigated using Hopf bifurcation.

关 键 词：RATIO-DEPENDENT global asymptotic stability functional response Hopf bifurcation 

分 类 号：O175.13[理学—数学]