| 一类具连续时滞的捕食-被捕食生态系统 |
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| 引用本文： | 王进良.一类具连续时滞的捕食-被捕食生态系统[J].生物数学学报,1998,13(4):472-478. |
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| 作者姓名： | 王进良 |
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| 作者单位： | 洛阳工学院基础部,洛阳,471039 |
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| 摘 要： | 本文讨论了一类具有强连续时滞的捕食-被捕食模型，分析了各非负平衡点的稳定性，利用区域连续收缩方法，得出非负平衡点全局稳定的充分条件，给出正平衡点全局稳定的充分条件，并给出系统出现Hopf的分支值．
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| 关 键 词： | 强连续时滞 非负平衡点 全局稳定 分支值 |
| 修稿时间： | 1997年11月29 |
A Kind of Prey-Predator Ecological System with Continuous Time Delay |
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| Wang Jinliang.A Kind of Prey-Predator Ecological System with Continuous Time Delay[J].Journal of Biomathematics,1998,13(4):472-478. |
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| Authors: | Wang Jinliang |
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| Abstract: | in this paper,we discuss a kind of prey-predator ecological system with continuous time delay.We obtain the stability of all nonegative equilibriums and asymptotic behavior of solu-tion.Finally,we obtain the value of bifurcation when the ystem produces periodic solution. |
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| Keywords: | Strong time delay asymptotic behavior periodic solution value of bifurcation |
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