具有授粉互惠关系的非自治周期植物传粉系统的持久性  

Permanence of a Non-Autonomous Periodic Plant-Pollinator System with Pollination Mutualism

作　　者：艾合麦提·麦麦提阿吉[1] Muhammadhaji Ahmadjan(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2020年第2期127-133,共7页Journal of Xinjiang University(Natural Science Edition)

基　　金：国家自然科学基金(11861063).

摘　　要：文章对具有授粉互惠关系的非自治周期植物传粉系统的持久性进行了研究,通过应用微分方程比较原理和不等式估计方法得到了系统的持久性和正周期解的存在性的充分条件.与以往的研究成果相比本文中研究的非自治周期植物传粉系统迄今未曾被研究过.因此,本文首次提出了具有授粉互惠关系的非自治周期植物传粉系统并研究得到了系统的持久性和正周期解存在性,从而推广和补充了文献[1]和文献[2]的模型和研究结果.This paper studies a class of non-autonomous periodic plant-pollinator system with pollination mutualism.By means of the comparison method and employing useful inequality techniques,some sufficient conditions on the permanence and periodic solution of the system are established.Compared with previous related research results,hitherto,research on the pollination mutualism of non-autonomous periodic plant-pollinator system,there is no theoretical result published.Therefore,in this paper,we first propose the non-autonomous periodic plantpollinator system with pollination mutualism,and study the permanence and existence of positive periodic solution of the system.Thus,the model and the obtained results in this paper can be seen as the extension and supplement of the previously known works in [1] and [2].

关 键 词：非自治植物传粉系统 授粉互惠关系 持久性 正周期解 

分 类 号：O175.14[理学—数学]