一类具有脉冲和收获率的Lotla-Volterra捕食系统的四个正概周期解  

Four Positive Almost Periodic Solutions to a Lotka-Volterra Predator-prey System with Impulses and Harvesting Terms

作　　者：姚晓洁[1] 秦发金[1] 

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546100

出　　处：《数学的实践与认识》2016年第4期157-166,共10页Mathematics in Practice and Theory

基　　金：广西高校科学技术研究项目(2013YB282;YB2014468;2013YB243);广西自然科学基金(2013GXNSFAA019022)

摘　　要：研究了一类具有脉冲和收获率的Lotka-Volterra捕食系统的正概周期解.通过利用重合度理论的延拓定理和不等式分析技巧,获得了系统至少存在四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.This paper investigates the existence of positive almost periodic solutions for a kind of Lotka-Voterra predator-prey system with impulses 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 are obtained,which generalize and improve the related results of early literature.

关 键 词：脉冲 收获率 Lotka-Volterra捕食系统 正概周期解 重合度 

分 类 号：O175[理学—数学]