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一类具功能反应和脉冲扰动的种群生物系统动力学分析 被引量:2

Dynamics Analysis of a Population Biological System with Functional Response and Impulsive Perturbations
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摘要 利用脉冲微分方程建立一类在两个不同固定时刻分别收获与放养的具有HollingⅣ类功能反应和相互干扰的捕食者-食饵脉冲动力系统,并由脉冲微分方程的Floquet理论和比较定理,得到了系统灭绝和持续生存的充分条件. A class of non-autonomous mutual interference system with Holling Ⅳ functional response and impulsive harvesting (stocking) is suggested, and sufficient conditions for the extinction and permanence of the system are obtained by using the Floquet theory of impulsive equation and comparison theorem.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2008年第4期607-612,共6页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:60464001) 广西科学基金(批准号:0575092)
关键词 脉冲扰动 功能反应 持续生存 相互干扰 impulsive perturbation functional respose permanent existence mutual interference
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