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一类具Holling-Ⅳ型功能反应函数的动力学分析--脉冲捕食-食饵模型

Dynamic Analysis of a Holling-Ⅳ Functional Reaction Function: Pulse Predator-Prey Model
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摘要 通过讨论一类具Holling-Ⅳ型功能反应函数的脉冲捕食-食饵模型的动力学行为,对系统1的计算得出其无害虫(捕食者灭绝)周期解的存在性及解的具体表达形式,全局吸引及持久和全局渐近吸引的充分条件,为生物害虫的防治提供理论依据。 By discussing the dynamic behavior of a kind of impulse predator-prey modelwith Holling-Ⅳ type functional response function, the existence of theperiodic solution of the pest-free(predator extinction) and the specificexpression form of the solution are calculated for the system 1. The fullconditions of global attraction and long-lasting and global asymptotic attractionprovide a theoretical basis for the prevention and control of biological pests.
作者 路杰 李明政 任璐 LU Jie;LI Ming-zheng;REN Lu(Basic Teaching Department Suzhou Vocational Technical College Suzhou 234101 China;Wuhe No.1 Middle School High School Department Mathematics Group, Bengbu 233300, China;Wuhe Second Experimental Primary School Mathematics Group, Bengbu 233300, China)
出处 《价值工程》 2018年第15期202-205,共4页 Value Engineering
关键词 Holling-Ⅳ型功能反应函数 捕食-食饵模型 全局吸引持久 全局渐近吸引 Holling-IVtype functional response function predator-prey model global attraction persistence global asymptoticattraction
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