Abstract
This paper is concerned with the competitive-diffusive systems u t=d lu xx+(a l−b lu−c lv)u v t=d 2v xx+(a 2−b 2u−c 2u)v (x, t) ϵ (0, 1) × (0, ∞) , with homogeneous Dirichlet boundary conditions. From a global bifurcation view point, the dependency of steady-states on the parameters a i , b i , c i and d i ( i = 1, 2) is investigated. In particular, bifurcation of coexist ence solutions amd their stabilities are our main interests.
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