Loops and branches of coexistence states in a Lotka-Volterra competition model

摘要: Abstract A two-species Lotka–Volterra competition–diffusion model with spatially inhomogeneous reaction terms is investigated. The two species are assumed to be identical except for their interspecific competition coefficients. Viewing common diffusion rate μ as a parameter, we describe the bifurcation diagram of steady states, including stability, in real functions μ. We also show that can rather complicated. Namely, given any positive integers l and b, coefficients chosen such there exist at least bifurcating branches stable states which connect semi-trivial same type (they vanish component), b other different types.