Bifurcation of non-negative solutions for an elliptic system  

作　　者：杨明 石佩虎 

机构地区：[1]Department of Mathematics,Southeast University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第2期251-257,共7页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10471022);the Science and Technology Major Project of the Ministry of Education of China (No.104090)

摘　　要：In the paper, we consider a nonlinear elliptic system coming from the predator-prey model with diffusion. Predator growth-rate is treated as bifurcation parameter. The range of parameter is found for which there exists nontrivial solution via the theory of bifurcation from infinity, local bifurcation and global bifurcation.In the paper, we consider a nonlinear elliptic system coming from the predator-prey model with diffusion. Predator growth-rate is treated as bifurcation parameter. The range of parameter is found for which there exists nontrivial solution via the theory of bifurcation from infinity, local bifurcation and global bifurcation.

关 键 词：BIFURCATION structure of positive solutions elliptic system 

分 类 号：O175.26[理学—数学]