一个椭圆型方程组的非负解的分支

基金项目: 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)

Bifurcation of Non-Negative Solutions for an Elliptic System

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．
- 分支 /
- 正解的结构 /
- 椭圆型方程组
Abstract: 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.
- bifur cation /
- structure of positive solution /
- elliptic system

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