ASYMPTOTIC BEHAVIOR OF THE POSITIVE SOLUTION OF A NONAUTONOMOUS FOOD-CHAIN MODEL WITH DIFFUSION

摘要

＜正＞A nonautonomous food-chain system with diffusion is investigated in this paper, whose coefficients asymptotically approach periodic functions. Under some sufficient conditions all positive solutions of the system asymptotically approach the periodic solution of the corresponding periodic system, by using comparison theorem and constructing Lyapunov-type functions.