| 带时滞的比率型的食物链系统的持久性和稳定性 |
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| 引用本文： | 徐瑞,封汉颍,阳平华,王志强.带时滞的比率型的食物链系统的持久性和稳定性[J].高校应用数学学报(英文版),2002,17(1):39-47. |
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| 作者姓名： | 徐瑞 封汉颍 阳平华 王志强 |
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| 作者单位： | Dept.ofMath.,MechanicalEngineeringCollege,Shijiazhuang050003 |
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| 摘 要： | A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the local asymptotic stability of a positive equilibrium of the system.
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| 关 键 词： | 稳定性 食物链 模型 延时 |
| 收稿时间： | 11 September 2000 |
Persistence and stability in a ratio-dependent food-chain system with time delays |
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| Rui Xu,Hanying Feng,Pinghua Yang,Zhiqiang Wang.Persistence and stability in a ratio-dependent food-chain system with time delays[J].Applied Mathematics A Journal of Chinese Universities,2002,17(1):39-47. |
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| Authors: | Rui Xu Hanying Feng Pinghua Yang Zhiqiang Wang |
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| Institution: | (1) Dept. of Math., Mechanical Engineering College, 050003 Shijiazhuang |
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| Abstract: | A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions,and sufficient conditions are obtained for the local asymptotic stability of a positive equilibrium of the system. |
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| Keywords: | time delay uniform persistence local stability |
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