一类具有阶段结构的脉冲食饵捕食模型的灭绝与持续（英文）

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英文篇名：Extinction and permanence in predator-prey impulsive model with stage structure for the prey 作者：吴娟 英文作者：WU Juan;Mathematics and Computer Department,Yuncheng Advanced Normal College; 关键词：阶段结构 ; 脉冲投放 ; 食饵-捕食 ; 全局吸引 ; 食饵灭绝 ; 持续生存 英文关键词：Stage-structure;;Impulsive perturbations;;Predator-prey;;Global attractivity;;Pest-extinction;;Permanence 中文刊名：宁夏师范学院学报 英文刊名：Journal of Ningxia Normal University 机构：运城师范高等专科学校数计系; 出版日期：2019-01-15 出版单位：宁夏师范学院学报 年：2019 期：01 语种：英文; 页：7-13 页数：7 CN：64-1061/G4 ISSN：1674-1331 分类号：Q141

摘要

基于生物学和常微分方程的理论与方法,对一类具有阶段结构和脉冲投放的食饵-捕食系统进行了研究.通过脉冲比较定理,得到了系统食饵灭绝全局吸引的条件,以及系统持续发展的条件.
        By using theories and methods of biology and ordinary differential equation,the predator-prey system with stage-structure and impulsive perturbations is established. By using the impulsive comparison theorem,sufficient conditions which guarantee the global attractivity of pest-extinction periodic solution and permanence of the system are obtained.

引文

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