纺织高校基础科学学报2011，Vol.24Issue(4)：489-494,6.
带有交叉扩散项的捕食-食饵模型的全局分歧
Global bifurcation for a predator-prey model with cross-diffusion
摘要
Abstract
The existence of positive solutions for a predator-prey model with cross-diffusion under homogeneous Dirichlet boundary conditions is studied. Firsitly,by the maximum principle,some a priori estimates are obtained. Secondly, by Crandall-Rabinowitz local bifurcation theory, positive solutions emanating from the semi-trivial solutions are derived. Finally,resorting to the global bifurcation theory,the local bifurcation solution to the global one is extended. The results show that the predator and the prey can co-exist under certain conditions.关键词
捕食-食饵/交叉扩散/先验估计/局部分歧/全局分歧Key words
predator-prey/cross-diffusion/a priori estimate/local bifurcation/global bifurcation分类
数理科学引用本文复制引用
柴俊平,李艳玲..带有交叉扩散项的捕食-食饵模型的全局分歧[J].纺织高校基础科学学报,2011,24(4):489-494,6.基金项目
国家自然科学基金(10971124) （10971124）
教育部高等学校博士点专项基金(200807180004) （200807180004）
