纺织高校基础科学学报2016，Vol.29Issue(4)：443-449,7.DOI:10.13338/j.issn.1006-8341.2016.04.005
一类具有交叉扩散项的捕食-食饵模型的局部分歧
The local bifurcation for a kind of prey-predator model with cross-diffusion
摘要
Abstract
The existence of bifurcation solutions for a predator-prey model with cross-diffusion under homogeneous Dirichlet boundary conditions is concerned.By the maximum principle,a priori estimate of positive solutions are obtained.Then by Crandall-Rabinowitz bifurcation theory,the sufficient conditions for the existence of positive solutions to a local bifurcation is proved.关键词
捕食-食饵/自扩散/交叉扩散/先验估计/局部分歧Key words
predator-prey model/self-diffusion/cross-diffusion/priori estimate/local bifurcation分类
数理科学引用本文复制引用
容跃堂,董苗娜,何堤,王晓丽..一类具有交叉扩散项的捕食-食饵模型的局部分歧[J].纺织高校基础科学学报,2016,29(4):443-449,7.基金项目
陕西省自然科学基础研究计划项目(2015JM1034) （2015JM1034）
