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.