| 具有概周期系数的三种群第Ⅱ类功能性反应的全局渐近稳定性 |
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| 引用本文： | 黄振坤,陈凤德.具有概周期系数的三种群第Ⅱ类功能性反应的全局渐近稳定性[J].数学研究,2003,36(2):124-132. |
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| 作者姓名： | 黄振坤 陈凤德 |
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| 作者单位： | 1. 福州大学数学系,福建,福州,350002
2. 北京大学数学科学学院,北京,100871 |
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| 基金项目： | theResearchisSupportedbytheNaturalScienceFoundationforPreeminentYoungScholarsinFuzhouUniversity (0 0 30 82 4 2 2 8) |
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| 摘 要： | 讨论了一类具有概周期系数的三种群第Ⅱ类功能性反应的模型，通过利用微分不等式及构造适当的李雅普诺夫函数获得了其存在全局渐近稳定性的概周期解的充分条件．
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| 关 键 词： | 概周期解，全局渐近稳定，李雅普诺夫函数 |
Global Asymptotic Stability of the Type Ⅱ Functional Response of Three-Species Model With Almost Periodic Coefficients |
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| Abstract.Global Asymptotic Stability of the Type Ⅱ Functional Response of Three-Species Model With Almost Periodic Coefficients[J].Journal of Mathematical Study,2003,36(2):124-132. |
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| Authors: | Abstract |
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| Abstract: | The type Ⅱ functional response of three-species model with almost periodic coefficients is discussed. Making use of the theory of differential inequality and constructing some suitable Lyapunov function obtain sufficient conditions that guarantee the existence of a global asymptotical stable almost periodic solution of the system. |
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| Keywords: | almost periodic solution Lyapunov function global asymptotical stability |
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