The linear and nonlinear diffusion of the competitive Lotka-Volterra model
Competitive Lotka-Volterra systems with a linear or nonlinear diffusion term are studied. Depending on the parameter values, these systems have several nonnegative equilibria, at which one of the species does not extinct. In two cases, sufficient conditions are given for the existence of a unique positive equilibrium at which all species are persistent, and for its global asymptotic stability.
scientific article; zbMATH DE number 5144905