一类具有时滞和收获率的脉冲竞争系统的4个正概周期解  

Four Positive Almost Periodic Solutions to an Impulsive Competitive System with Delays and Harvesting Terms

作　　者：姚晓洁 秦发金 YAO Xiao-jie;QIN Fa-jin(College of Mathematics and Computer Science,Guangxi Science&Technology Normal University,Laibin Guangxi 546199 China)

机构地区：[1]广西科技师范学院数学与计算机科学学院,广西来宾546199

出　　处：《西南师范大学学报（自然科学版）》2018年第3期7-14,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：广西高校科学技术研究项目(具有时滞和脉冲的生物种群系统概周期解的研究;YB2014468);广西重点实验室(非线性动力系统仿真与控制)

摘　　要：研究了一类具有时滞和收获率的脉冲竞争系统的正概周期解.通过利用重合度理论的延拓定理和不等式分析技巧,获得了该系统至少存在4个正概周期解的充分条件,推广和改进了早期文献的相关结果.In this paper,the existence of positive almost periodic solutions has been investigated for a kind of impulsive competitive system with delays and harvesting terms.By using a continuation theorem based on coincidence degree theory and some analysis technique,some sufficient conditions for the existence of at least four positive almost periodic solutions of the system have been obtained,which generalize and improve the related results of early literature.

关 键 词：时滞 收获率 脉冲竞争系统 4个正概周期解 重合度 

分 类 号：O175[理学—数学]