Global Behavior for the Competitive Lotka-Volterra Diffusion Model with Stage-Structured

摘要

In this paper, the competitive Lotka-Volterra diffusion model with stage-structured is studied. First it is shown that the asymptotical stability of the nonnegative equilibrium points for the model of ODE type. Then, the existence and uniform boundedness of global solutions and stability of the nonnegative equilibrium points for the model of weakly coupled reaction-diffusion type are discussed. Finally, the global existence of solutions and stability of the unique positive equilibrium point for the model with cross-diffusion is investigated when the space dimension be less than 6.