一类SIS传染病动力学模型的概周期解  

Almost Periodic Solution of the SIS Epidemic Model

作　　者：王丹红 WANG Danhong(Department of Mathematics and Data Science,Minjiang University,Fuzhou,Fujian 350108,China)

机构地区：[1]闽江学院数学与数据科学学院,福建福州350108

出　　处：《闽江学院学报》2018年第5期5-9,共5页Journal of Minjiang University

基　　金：福建省中青年教师教育科研项目(JAT160337)

摘　　要：研究了一类具有概周期时变系数的SIS传染病模型.利用线性系统指数型二分性以及不动点方法给出了该系统存在唯一一致渐近稳定的正概周期解的一个充分条件,并通过例子以及相应的数值模拟表明了结果的可行性.In this paper, we considered the SIS epidemic mode with almost periodic time-varying coef-ficient. By making use of the exponential dichotomy and fixed point theorem, some sufficient conditionswere obtained for the unique unifoml asymptotic stable almost periodic solution of the system. An exam-ple together with its numerical simulation showed the feasibility of the main results.

关 键 词：SIS传染病 指数型二分性 不动点定理 慨周瑚解 

分 类 号：O175[理学—数学]