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一类Chemostat捕食模型正周期解的存在性
引用本文:何俊红,李海侠,姜洪领.一类Chemostat捕食模型正周期解的存在性[J].纯粹数学与应用数学,2008,24(4).
作者姓名:何俊红  李海侠  姜洪领
作者单位:宝鸡文理学院数学系,陕西,宝鸡,721007;宝鸡文理学院数学系,陕西,宝鸡,721007;宝鸡文理学院数学系,陕西,宝鸡,721007
基金项目:宝鸡文理学院重点项目  
摘    要:讨论了一类Chemostat捕食模型在一定条件下正周期解的存在性问题.运用周期抛物型算子理论、Schauder估计和分歧理论得到了该模型正周期解存在的充分必要条件.

关 键 词:Chemostat模型  分歧  正周期解

The existence of the positive periodic solution to a kind of food-chain Chemostat model
HE Jun-hong,LI Hai-xia,JIANG Hong-ling.The existence of the positive periodic solution to a kind of food-chain Chemostat model[J].Pure and Applied Mathematics,2008,24(4).
Authors:HE Jun-hong  LI Hai-xia  JIANG Hong-ling
Institution:HE Jun-hong,LI Hai-xia,JIANG Hong-ling(Baoji University of Arts , sciences,Baoji 721007,China )
Abstract:The existence of the positive periodic solution of the chemostat prey model is discussed under certain conditions.By employing the theory of periodic parabolic operators,the Schauder estimate and bifurcation theory,a necessary and sufficient condition for the existence of positive periodic solutions of such model is obtained.
Keywords:Chemostat model  bifurcation  positive periodic solutions  
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