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具有Beddington-DeAngelis功能反应的时滞捕食者-食饵模型的周期解 被引量:3

Predator-prey system with time delays and Beddington-DeAngelis functional response
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摘要 研究了具有时滞和Beddington-DeAngelis功能反应的一类捕食者-食饵系统,获得了系统一致持久的充分条件;并利用构造Lyapunov泛函的方法研究了该系统的全局渐近稳定性,进而获得系统存在唯一正周期解和周期解全局渐近稳定的条件. A predator- prey system with time delays and Beddington-DeAngelis functional response is studied and sufficient conditions are eslablished for the uniformly persistance and the existence of periodic solution of the system. By construct Lyapunov functional, the global asymptotic stability are studied, and established the sufficient condition of the global osymptotic stability of positive periodic solution.
作者 熊友兵
出处 《天津工业大学学报》 CAS 2007年第3期81-85,共5页 Journal of Tiangong University
关键词 时滞 Beddington.DeAngelis功能反应 捕食者-食饵系统 全局渐近稳定性 周期解 time delay Beddington-DeAngelis functional response predator- prey system global asymptotic stability periodic solution
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