Bifurcation of Non-Negative Solutions for an Elliptic System
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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.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.
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Key words:
- bifur cation /
- structure of positive solution /
- elliptic system
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