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PERSISTENCE AND STABILITY IN A RATIO-DEPENDENT FOOD-CHAIN SYSTEM WITH TIME DELAYS 被引量：1

PERSISTENCE AND STABILITY IN A RATIO-DEPENDENT FOOD-CHAIN SYSTEM WITH TIME DELAYS
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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. 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.
作者 Xu Rui Feng Hanying Yang Pinghua Wang ZhiqiangDept. of Math.,Mechanical Engineering College,Shijiazhuang 050003.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第1期39-47,共9页 高校应用数学学报（英文版）（B辑）
关键词 time delay uniform persistence local stability. time delay, uniform persistence, local stability.
分类号 O175 [理学—基础数学]
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参考文献9

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Applied Mathematics(A Journal of Chinese Universities)
2002年 第1期

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