Global Stability of a Mumps Transmission Model with Quarantine Measure

作     者：Yu-zhen BAI Xiao-jing WANG Song-bai GUO Yu-zhen BAI;Xiao-jing WANG;Song-bai GUO

作者机构：School of ScienceBeijing University of Civil Engineering and ArchitectureBeijing102616China Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing100190China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2021年第37卷第4期

页      面：665-672页

核心收录：

学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 07[理学] 070104[理学-应用数学] 100401[医学-流行病与卫生统计学] 0701[理学-数学] 10[医学] 

基　　金：This work is supported in part by the National Natural Science Foundation of China(Nos.11901027 and 11871093) the Scientific Research Project of Beijing Municipal Education Commission(No.KM201910016001) the Pyramid Talent Training Project of BUCEA(JDYC20200327) the Bill&Melinda Gates Foundation(INV-005834) the Fundamental Research Funds for Beijing Universities(X20083) 

主　　题：mumps transmission model control reproduction number quarantine measure global stability 

摘      要：In this paper,a model of mumps transmission with quarantine measure is proposed and then the control reproduction number Rc of the model is *** model admits a unique endemic equilibrium P*if and only if Rc1,while the disease-free equilibrium P0 always *** using the technique of constructing Lyapunov functions and the generalized Lyapunov-LaSalle theorem,we first show that the equilibrium P0 is globally asymptotically stable(GAS)if Rc≤1;second,we prove that the equilibrium P*is GAS if Rc*** results reveal that mumps can be eliminated from the community for Rc≤1 and it will be persistent for Rc1,and quarantine measure can also effectively control the mumps transmission.