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一类Volterra竞争模型的定态分歧
引用本文:张毅然,李军燕.一类Volterra竞争模型的定态分歧[J].内江师范学院学报,2011(8):9-12.
作者姓名:张毅然  李军燕
作者单位:四川大学数学学院;
摘    要:运用线性全连续场的谱理论和Lyapunov—Schmidt约化方法,研究了一类Volterra竞争模型的约化方程和定态分歧,得到了方程在不同情况下所有临界参数处的分歧解.

关 键 词:Vo|terra竞争模型  L-s约化  谱理论  分歧

Steady State Bifurcation for a Class of Volterra Competitive Model
ZHANG Yi-ran,LI Jun-yan.Steady State Bifurcation for a Class of Volterra Competitive Model[J].Journal of Neijiang Teachers College,2011(8):9-12.
Authors:ZHANG Yi-ran  LI Jun-yan
Institution:ZHANG Yi-ran,LI Jun-yan(College of Mathematics,Sichuan University,Chengdu,Sichuan 600064,China)
Abstract:By using the Spectrum Theory of the linear completely continuous fields and Lyapunov-Schmidt Reduction Method,the approximation equation and the bifurcation of a class of Volterra Competitive Model is investigated.At the same time,the regular bifurcated branches of all the critical values are given in different circumstances.
Keywords:Volterra Competitive Model  L-S reduction model  Spectrum theory  bifurcation  
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