摘要
考虑了1个源于扩散捕食模型的非线性椭圆型方程组.将猎物的增长率作为分支参数,通过运用无穷远处的分支理论、局部分支理论以及整体分支理论,得到了使方程组的非平凡解存在的参数范围.
A nonlinear elliptic system coming from the predator-prey model with diffusion is considered. Predator growth-rate was treated as bifurcation parameter. The range of parameter was found for which there exists nontrivial solution via the theory of bifurcation from infinity, local bifurcation and global bifurcation.
出处
《应用数学和力学》
CSCD
北大核心
2008年第2期228-234,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10471022)
教育部重大(重点)资助项目(104090)
关键词
分支
正解的结构
椭圆型方程组
bifurcation
structure of positive solution
elliptic system
