纺织高校基础科学学报2017，Vol.30Issue(1)：48-55,8.DOI:10.13338/j.issn.1006-8341.2017.01.009
一类带交叉扩散项的Variable-Territory捕食-食饵模型
A class of prey-predator model with cross-diffusion and variable-territory type
摘要
Abstract
Under homogeneous Dirichlet boundary conditions,the existence of positive solutions for a predator-prey model with Variable-Territory type and cross-diffusion is researched.By the maximum principle and Crandall-Rabinowitz bifurcation theory,a priori estimate of positive solutions are obtained and the existence of positive solutions to a local bifurcation is proved.Finally,the local bifurcation is developed to the global one,which shows that the predator and the prey can coexist under certain conditions.关键词
捕食-食饵/交叉扩散/正解/全局分歧Key words
predator-prey model/cross-diffusion/positive solution/global bifurcation分类
数理科学引用本文复制引用
董苗娜,容跃堂,王晓丽,殷珍杰..一类带交叉扩散项的Variable-Territory捕食-食饵模型[J].纺织高校基础科学学报,2017,30(1):48-55,8.基金项目
陕西省自然科学基础研究计划项目(2015JM1034) （2015JM1034）
