| ASYMPTOTIC BEHAVIOR OF THE POSITIVE SOLUTION OF A NONAUTONOMOUS FOOD-CHAIN MODEL WITH DIFFUSION |
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| 作者姓名： | Wang Aili Yan Enrang |
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| 作者单位： | Dept. of Math.，Baoji University of Arts and Sciences，Baoji 721007) Wei Chaoying School of Sciences，Xi'an Shiyou University，Xl'an 710065) |
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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.
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| 关 键 词： | 食物链模型 数学分析 Lyapunov函数 周期解 渐进线 |
ASYMPTOTIC BEHAVIOR OF THE POSITIVE SOLUTION OF A NONAUTONOMOUS FOOD-CHAIN MODEL WITH DIFFUSION |
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| Wang Aili Yan Enrang.ASYMPTOTIC BEHAVIOR OF THE POSITIVE SOLUTION OF A NONAUTONOMOUS FOOD-CHAIN MODEL WITH DIFFUSION[J].微分方程年刊(英文版),2005,21(3):421-426. |
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| Authors: | Wang Aili Yan Enrang Wei Chaoying |
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| Abstract: | 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. |
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| Keywords: | food-chain system diffusion periodic solution attractivity |
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