Global Behavior for the Competitive Lotka-Volterra Diffusion Model with Stage-Structured
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.
diffusion cross-diffusion global solution equilibrium point stability
Ping Hu Shengmao Fu
Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China
国际会议
山东泰安
英文
405-410
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）