| 具有时滞的生物模型的全局稳定性分析 |
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| 引用本文： | 徐道义.具有时滞的生物模型的全局稳定性分析[J].四川师范大学学报(自然科学版),1994,17(5):24-28. |
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| 作者姓名： | 徐道义 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文提出了检验描述交互作用种群动态的Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ时滞系统稳定性的实际方法．借助于比较原理与不等式技巧，给出了这类系统平衡态全局渐近稳定性的充分条件．
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| 关 键 词： | 生物模型 时滞系统 全局稳定性 |
GLOBAL STABILITY ANALYSIS OF A BIOLOGICAL MODEL WITH DELAYS |
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| Xu Daoyi.GLOBAL STABILITY ANALYSIS OF A BIOLOGICAL MODEL WITH DELAYS[J].Journal of Sichuan Normal University(Natural Science),1994,17(5):24-28. |
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| Authors: | Xu Daoyi |
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| Abstract: | This paper proposes a practical method for examining the stability of the Lotka-Volterra systems with delays which describe the dynamics of interacting species populations. Sufficient conditions for the global stability of an equilibrium state are derived by the inequility approach. |
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| Keywords: | biological model delay systems global stability |
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