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齐次扩散捕食系统稳态解分支的存在性(英文)
引用本文:木林,宋志强,万阿英.齐次扩散捕食系统稳态解分支的存在性(英文)[J].内蒙古大学学报(自然科学版),2012,43(1):7-12.
作者姓名:木林  宋志强  万阿英
作者单位:1. 呼伦贝尔学院计算机科学与技术学院,内蒙古海拉尔,021008
2. 呼伦贝尔学院工程技术学院,内蒙古海拉尔,021008
3. 呼伦贝尔学院数学科学学院,内蒙古海拉尔,021008
基金项目:Surported by Natural Science Foundation of the Inner Mongolia(No.2009MS0106);Scientific Research of College of the Inner Mongolia(No.NJZZ11230)~~
摘    要:研究了具有功能性反应Ⅲ的反应扩散系统的稳态解分支.由分支定理得到系统稳态解全局分支的存在性.

关 键 词:扩散  捕食系统  功能反应Ⅲ  分支  稳态解

Bifurcations of a Homogenous Diffusive Predator-Prey System of Holling Type Ⅲ
MU Lin , SONG Zhi-qiang , WAN A-ying.Bifurcations of a Homogenous Diffusive Predator-Prey System of Holling Type Ⅲ[J].Acta Scientiarum Naturalium Universitatis Neimongol,2012,43(1):7-12.
Authors:MU Lin  SONG Zhi-qiang  WAN A-ying
Institution:1.School of Computer Science,Hulunbeir College,Hailar,Inner Mongolia,021008,China;2.School of Engineering Technology,Hulunbeir College,Hailar,Inner Mongolia,021008,China;3.School of Mathematical Sciences,Hulunbeir College,Hailar,Inner Mongolia,021008,China)
Abstract:In this paper,we investigate the steady state bifurcation solution of the reaction diffusion system for a predator-prey system of Holling Type Ⅲ.By using the Abstract bifurcation theorem,we show the existence of global bifurcation of the steady state solution.
Keywords:Diffusive predator-prey system  Holling type-Ⅲ functional response  Bifurcation  Steady state solution
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