| 一类时滞捕食者-食饵系统的稳定性 |
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| 引用本文： | 马明菊.一类时滞捕食者-食饵系统的稳定性[J].莆田高等专科学校学报,2009(2):24-26. |
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| 作者姓名： | 马明菊 |
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| 作者单位： | 莆田学院数学与应用数学系,福建莆田351100 |
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| 摘 要： | 对一类具有时滞的捕食者-食饵系统的稳定性进行研究，主要利用线性化方法和构造合适的Liapunov函数的方法得到系统平衡点的局部稳定性和全局稳定性。
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| 关 键 词： | 捕食者-食饵 平衡点 局部稳定性 全局稳定性 |
The Stability of a Predator-prey System with Delay |
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| MA Ming-ju.The Stability of a Predator-prey System with Delay[J].Journal of Putian College,2009(2):24-26. |
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| Authors: | MA Ming-ju |
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| Institution: | MA Ming-ju (Mathematics ＆ Applied Mathematics Department, Putian University, Putian Fujian 351100, China) |
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| Abstract: | The stability of a predator-prey model with delay is studied in this paper. The local stability of the nonnegative equilibrium is derived using linearisation, and the global asymptotic stability of the positive equilibria of the model is obtained by constracting Liapunov function. |
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| Keywords: | predator-prey equilibrium local stability global stability |
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