具有捕获项和投放率的捕食模型的周期解  

The Periodic Solutions of Predator-prey Model with Exploited Term and Stock

作　　者：王晖[1] WANG Hui(Mathematics College,Inner Mongolia University for the Nationalities,Tongliao 028000,China)

机构地区：[1]内蒙古民族大学数学学院

出　　处：《湖北民族学院学报（自然科学版）》2019年第2期151-155,共5页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：国家地区科学基金项目(61663037);内蒙古民族大学科学研究基金资助项目(NMDYB1777)

摘　　要：在生态系统中,种群的周期解一直是研究的重点内容之一.本文考虑了人为的干预继而研究了一类同时具有捕获项和投放率的捕食系统.通过一个同胚变换将原模型化成一个等价模型,并对这个等价模型两边积分和适当的放缩,然后再利用Mawhin重合度理论中的延拓定理证明了系统至少存在一个正周期解.One of the most interesting topics in ecology systems is the periodic solution of species.In this paper,we consider the predator-prey system with exploited term and stock because of human intervention.The original model is transformed into an equivalent model through a homeomorphism.Then the model is integrated on both sides and is zoomed appropriately.The existence of a positive periodic solution is proved by using coincidence degree theory and Mawhin continuation theorem.

关 键 词：捕获项 功能反应 投放率 正周期解 

分 类 号：O175.13[理学—数学]