| 一类具有时滞捕食-食饵系统的稳定性分析 |
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| 引用本文： | 向中义.一类具有时滞捕食-食饵系统的稳定性分析[J].湖北民族学院学报(哲学社会科学版),2005,23(2):162-166. |
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| 作者姓名： | 向中义 |
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| 作者单位： | 湖北民族学院理学院,湖北恩施445000 |
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| 摘 要： | 研究了一类带有时滞和对食饵具有阶段结构的捕食-食饵系统，通过线性化得到了该系统平衡点的局部稳定的充分条件．给出了解的渐近性质和阶段结构对种群持续生存的负面影响、
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| 关 键 词： | 捕食-食饵系统 时滞 持续生存 局部稳定 |
| 文章编号： | 1008-8423(2005)02-0162-05 |
| 修稿时间： | 2005年2月20日 |
Stability of a Predator-Prey System with Delay Time and Stage Structure |
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| XIANG Zhong - yi.Stability of a Predator-Prey System with Delay Time and Stage Structure[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2005,23(2):162-166. |
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| Authors: | XIANG Zhong - yi |
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| Abstract: | In this paper,a two - species predator - prey system with delay time and stage structure is discussed. By applying the linearization method,we obtained the sufficient condition of local stability of the equilibrium point of the system. The asymptotic behavior of solution and the negative effect of stage structure on the permanemce of population are given. |
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| Keywords: | predator - prey system stage structure permanence local stability |
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