一类具有Holling Ⅲ功能反应的时滞食饵-捕食系统正周期解的存在性  

Existence of Positive Periodic Solutions for a Delayed Predator-Prey System with Holling Ⅲ Functional Response

作　　者：罗超良[1] 侯爱玉[1] 罗嘉程 刘清华 曾彪 LUO Chaoliang;HOU Aiyu;LUO Jiacheng;LIU Qinghua;ZENG Biao(College of Science,Hunan University of Technology,Zhuzhou Hunan 412007,China;School of Urban Planning and Municipal Engineering,Xi’an Polytechnic University,Xi’an 710048,China)

机构地区：[1]湖南工业大学理学院,湖南株洲412007 [2]西安工程大学城市规划与市政工程学院,陕西西安710048

出　　处：《湖南工业大学学报》2020年第1期9-13,共5页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目（11801162）;湖南省教育厅科学研究基金资助项目(17C0467,17C0468)

摘　　要：利用重合度理论中的延拓定理,分析了一类时滞食饵-捕食系统正周期解的存在性,并给出了正周期解的存在性条件。By using the continuation theorem of coincidence degree theory,an analysis has been made of the existence of positive periodic solutions for a class of delayed predator-prey systems,thus working out the existence conditions of positive periodic solutions.

关 键 词：食饵-捕食系统 时滞 周期解 延拓定理 

分 类 号：O175.1[理学—数学]