| 一类带时滞的阶段结构捕食模型的定性分析 |
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| 引用本文： | 朱焕桃,张钟德.一类带时滞的阶段结构捕食模型的定性分析[J].数学的实践与认识,2010,40(24). |
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| 作者姓名： | 朱焕桃 张钟德 |
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| 摘 要： | 研究了一类具有时滞和阶段结构的捕食模型系统,给出了系统持续生存的充分条件.利用比较定理和构造适当的Lyapunov泛函得到了该系统正平衡态全局渐近稳定的充分条件.
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| 关 键 词： | 阶段结构 捕食模型 持续生存 全局渐进稳定 |
The Qualitative Analysis of Stage Structure on the Predator Prey Model with Time Delay |
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| ZHU Huan-tao,ZHANG Zhong-de.The Qualitative Analysis of Stage Structure on the Predator Prey Model with Time Delay[J].Mathematics in Practice and Theory,2010,40(24). |
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| Authors: | ZHU Huan-tao ZHANG Zhong-de |
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| Abstract: | Stage structure on the predator prey model with time delay is investigated, and conditions are given for persistence of the system.By the comparison theorem and working out a suitable Lyapunov functional method,sufficient conditions are derived for stage structure on the predator prey model with time delay of the system. |
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| Keywords: | stage structure the predator prey model persistence global asymptotic stability |
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