| EFFECT OF TOXIC SUBSTANCE ON A NONAUTONOMOUS COMPETITIVE SYSTEM |
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| 作者姓名： | He Weilian |
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| 作者单位： | College of Basic Medicine，Fujian Medical University，Fuzhou 350004 |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China (Tian Yuan Foundation) (10426010)
the Foundation of Science and Technology of Fujian Province for Young Scholars (2004J0002)
the Foundation of Fujian Education Bureau (JA04156)
the Foundation of Developing Science
Technology of Fuzhou University (2003-QX-21). |
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| 摘 要： | In this paper, we consider a nonautonomous competitive system which is also affected by toxic substances. Some averaged conditions for the permanence of this system are obtained. Our result shows that under some suitable assumption on the coefficients of the system, the toxic has no influence on the permanence of the system. Also, by using a suitable Lyapunov function, sufficient conditions which guarantee the attractivity of any two positive solutions of the system are obtained.
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| 关 键 词： | 非自治竞争系统 毒物学 Lyapunov函数 数学模型 |
EFFECT OF TOXIC SUBSTANCE ON A NONAUTONOMOUS COMPETITIVE SYSTEM |
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| He Weilian.EFFECT OF TOXIC SUBSTANCE ON A NONAUTONOMOUS COMPETITIVE SYSTEM[J].微分方程年刊(英文版),2005,21(3):305-310. |
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| Authors: | He Weilian |
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| Institution: | College of Basic Medicine, Fujian Medical University, Fuzhou 350004 |
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| Abstract: | In this paper, we consider a nonautonomous competitive system which is also affected by toxic substances. Some averaged conditions for the permanence of this system are obtained. Our result shows that under some suitable assumption on the coefficients of the system, the toxic has no influence on the permanence of the system. Also, by using a suitable Lyapunov function, sufficient conditions which guarantee the attractivity of any two positive solutions of the system are obtained. |
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| Keywords: | competition toxicology average condition permanence at-tractivity |
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