A global attractor in a general diffusive food chain model

1. IntroDUCtion Reaction-diffusion equations have been extensively used by applied scientists to model and analyze the population dynamics for interacting species. To model interactions among three species, consider the system ut-diAu= ufi (x, t, u, v, w) vt-d2Av= vf2 (x, t, u, v, w) in Ω x (0,¡) wt-d£¢ Aw= wf¤¢(x, t, u, v, w) u= v= w= 0 on¦¥ Ω x (0,¡)