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
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 ()