Asymptotic periodicity of a food-limited diffusive population model with time-delay
The authors discuss the stability and the asymptotic behavior of solutions for some reaction diffusion food-limited population model with delay. First, the authors establish sufficient conditions for the global asymptotic stability of the equilibrium zero with respect to nonnegative solutions. Second, the authors establish the existence of a unique periodic solution which is globally attractive. The authors discuss also the effect of the delay on the asymptotic behavior of solution. For illustration, several examples with numerical simulations are provided.
scientific article; zbMATH DE number 5016109