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DYNAMICS ON A HOLLING II PREDATOR-PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL 被引量:12

DYNAMICS ON A HOLLING II PREDATOR-PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL
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摘要 to biological and chemical control strategy for pest control, a Holling II func- tional response predator-prey system concerning state-dependent impulsive control is investigated. We define the successor functions of semi-continuous dynamic system and give an existence theorem of order 1 periodic solution of such a system. By means of sequence convergence rules and quMitative analysis, we successfully get the conditions of existence and attractiveness of order 1 periodic solution. Our results show that our method used in this paper is more efficient and easier than the existing methods to prove the existence and attractiveness of order 1 periodic solution.
出处 《International Journal of Biomathematics》 2012年第3期93-110,共18页 生物数学学报(英文版)
关键词 Holling II predator-prey system order 1 periodic solution successor function state-dependent impulsive control. Holling 脉冲控制模型 状态 捕食者 解的存在性 食饵 连续动态系统 捕食系统
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