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一类带有交叉扩散的捕食-食饵模型的全局分歧

张航国 容跃堂 党苏娟

纺织高校基础科学学报Issue(3):338-343,6.
纺织高校基础科学学报Issue(3):338-343,6.

一类带有交叉扩散的捕食-食饵模型的全局分歧

Global bifurcation for a kind of prey-predator model with cross-diffusion

张航国 1容跃堂 1党苏娟1

作者信息

  • 1. 西安工程大学理学院,陕西西安710048
  • 折叠

摘要

Abstract

The existence of positive solutions for Dirichlet problem with a predator-prey model with cross-diffu-sion is studied .A priori estimate of positive solution was got by using maximum principle and the existence of positive solutions was obtained with the help of Crandall-Rabinowitz bifurcation theory ,then the local bifurca-tion solution was developed to the global one ,thus the sufficient conditions of positive solutions were obtained . It has shown that predator and prey can coexist under certain conditions .

关键词

捕食-食饵模型/交叉扩散/全局分歧

Key words

predator-prey model/cross-diffusion/global bifurcation

分类

数理科学

引用本文复制引用

张航国,容跃堂,党苏娟..一类带有交叉扩散的捕食-食饵模型的全局分歧[J].纺织高校基础科学学报,2013,(3):338-343,6.

基金项目

陕西省教育厅自然科学基金资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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