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具有收获率和2个功能反应的捕食系统的多个正周期解 被引量：2

Multiple Positive Periodic Solutions for Predator-Prey System with Harvesting Terms and Two Functional Responses
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摘要 研究了一类具有2个功能反应和收获率的捕食系统的正周期解问题,其中2个功能反应函数分别是Beddington-De Angelis功能函数和比率功能函数.通过利用重合度理论中的延拓定理和一些不等式分析技巧,细致分析系统的解的界,给出了8种可能情形,建立了该系统至少存在8个正周期解的充分条件. Multiple positive periodic solutions for a kind of predator-prey system with two functional responses and harvesting terms are discussed, in which two functional responses are Beddington-DeAngelis function and ratio-dependentfunction. By using a continuation theorem based on coincidence degree theory and some inequality analysis techniques, the bounds of solutions of this system are analyzed, in which there are eight possible cases, the sufficient conditions for the existence of at least eight positive periodic solutions of this system are established.
作者 姚晓洁
机构地区 广西科技师范学院数学与计算机科学系
出处 《华南师范大学学报（自然科学版）》 CAS 北大核心 2015年第6期105-110,共6页 Journal of South China Normal University(Natural Science Edition)
基金 广西壮族自治区自然科学基金项目(2013GXNSFAA019022) 广西高校科学技术研究项目(2013YB282) 广西高校科学技术研究项目(YB2014468)
关键词 收获率 2个功能反应 捕食系统 正周期解 重合度 harvesting term twofunctionalresponses predator-prey system positive periodic solutions coincidence degree
分类号 O175.7 [理学—基础数学]
作者简介 通讯作者：姚晓洁，副教授，Email：yaoxiaojie1970@163．com
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参考文献13

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二级参考文献23

  • 1Fengying Wei. Existence of Multiple Positive Periodic Solutions to a Periodic Predator - prey System with Harvesting Terms and Holling III Type Functional Response [ J ]. Commun Nonlinear ,Sci Numer Simulat ,2011,16:2130 - 2138.
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  • 3Daowei Hu, Zhengqiu Zhang. Four Positive Periodic Solutions to a Lotka - Volterra Cooperative System with Harvesting Terms [J]. Nonlinear Anal: RWA,2010,11:1115 - 1121.
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共引文献8

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华南师范大学学报（自然科学版）
2015年 第6期

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