纺织高校基础科学学报2016，Vol.29Issue(3)：319-326,8.DOI:10.13338/j.issn.1006-8341.2016.03.008
带交叉扩散项的B-D捕食-食饵模型的全局分歧
The global bifurcation for a prey-predator model with cross-diffusion and B-D functional response
摘要
Abstract
This paper concerns the existence of positive solutions for a predator-prey model with cross-diffusion and B-D functional response under homogeneous Dirichlet boundary conditions. By the maximum principle,a priori estimate of positive solutions are obtained.By considering the related eigenvalue problems,two unbounded neutral curves are given.Then by Crandall-Rabinowitz bifurcation theory,the existence of positive solutions to a local bifurcation is proved.Finally,the local bifurcation is developed to the global one.关键词
交叉扩散/捕食-食饵模型/先验估计/全局分歧Key words
cross-diffusion/predator-prey model/a priori estimate/global bifurcation分类
数理科学引用本文复制引用
王晓丽,容跃堂,董苗娜,何堤..带交叉扩散项的B-D捕食-食饵模型的全局分歧[J].纺织高校基础科学学报,2016,29(3):319-326,8.基金项目
陕西省自然科学基础研究计划项目(2015JM1034) （2015JM1034）
