一类互惠模型的全局分歧和稳定性

The global bifurcation and stability of the steady-state solution for a cooperative model

以生长率a2为参数,运用度理论和分歧理论给出了一类二维Lotka-Volterra互惠模型在齐次第一边界条件下半平凡解的全局分歧,同时证明了分歧解是局部稳定的.

A kind of cooperative two-species Lotka-Volterra model with homogeneous Dirichlet boundary conditions is studied in this paper. Taking growth rate a2 as its bifurcation parameter, the global bifurcation are investigated by the degree theory and bifurcation theory. Meanwhile, it is proved that the bifurcations are stable in essence.