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ASYMPTOTIC BEHAVIOR OF THE POSITIVE SOLUTION OF A NONAUTONOMOUS FOOD-CHAIN MODEL WITH DIFFUSION 被引量:2

ASYMPTOTIC BEHAVIOR OF THE POSITIVE SOLUTION OF A NONAUTONOMOUS FOOD-CHAIN MODEL WITH DIFFUSION
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摘要 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. 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.
出处 《Annals of Differential Equations》 2005年第3期421-426,共6页 微分方程年刊(英文版)
关键词 food-chain system DIFFUSION periodic solution ATTRACTIVITY food-chain system, diffusion, periodic solution, attractivity
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  • 1Yonghui Xia,Jinde Cao.Almost Periodicity in an Ecological Model with M-Predators and N-Preys by “Pure-Delay Typ” System[J].Nonlinear Dynamics.2005(3)

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