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一类浮游生物捕食系统的定态分歧
引用本文:李军燕,柴沙沙. 一类浮游生物捕食系统的定态分歧[J]. 平顶山学院学报, 2014, 0(2): 19-23
作者姓名:李军燕  柴沙沙
作者单位:四川大学锦城学院
摘    要:
主要研究了一类Neuman边界条件下浮游生物捕食系统的定态分歧.通过运用线性全连续场的谱理论和Lyapunov-Schmidt约化方法,借助一阶近似和二阶近似,在一定的条件下得到了方程在所有临界参数处的分歧.

关 键 词:捕食-食饵模型  Lyapunov-Schmidt约化  谱理论  分歧

Stationary State Bifurcation of Predator System of a Class of Plankton
LI Junyan;CHAI Shasha. Stationary State Bifurcation of Predator System of a Class of Plankton[J]. Journal of Pingdingshan University, 2014, 0(2): 19-23
Authors:LI Junyan  CHAI Shasha
Affiliation:LI Junyan;CHAI Shasha;Jincheng College,Sichuan University;
Abstract:
In this paper,we investigate the stationary state bifurcation of the predator system of plankton under the Neuman boundary condition. By using the spectrum theory of the continuous linear field and Lyapunov-Schmidt reduction method,with the first order approximation and the second order approximation,we obtain the regular bifurcated branches of all the critical parameters.
Keywords:predator system  Lyapunov-Schmidt reduction method  Spectrum theory  bifurcation
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