A Novel Analysis Approach of Uniform Persistence for an Epidemic Model with Quarantine and Standard Incidence Rate

作     者：Song-bai GUO Yu-ling XUE Xi-liang LI Zuo-huan ZHENG Song-bai GUO;Yu-ling XUE;Xi-liang LI;Zuo-huan ZHENG

作者机构：School of ScienceBeijing University of Civil Engineering and ArchitectureBeijing 102616China School of Mathematics and StatisticsHainan Normal UniversityHaikou 571158China Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematics and Information ScienceShandong Technology and Business UniversityYantai 264005China School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China 

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

年 卷 期：2024年第40卷第3期

页      面：695-707页

核心收录：

学科分类：01[哲学] 0101[哲学-哲学] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 010104[哲学-逻辑学] 100401[医学-流行病与卫生统计学] 0701[理学-数学] 10[医学] 

基　　金：partially supported by the National Natural Science Foundation of China(Nos.11901027,11971273and 12126426) the Major Program of the National Natural Science Foundation of China(No.12090014) the State Key Program of the National Natural Science Foundation of China(No.12031020) the Natural Science Foundation of Shandong Province(No.ZR2018MA004) the China Postdoctoral Science Foundation(No.2021M703426) the Pyramid Talent Training Project of BUCEA(No.JDYC20200327) the BUCEA Post Graduate Innovation Project(No.PG2022143)。 

主　　题：uniform persistence epidemic model control reproduction number quarantine standard incidence rate 

摘      要：Inspired by the transmission characteristics of the coronavirus disease 2019(COVID-19),an epidemic model with quarantine and standard incidence rate is first developed,then a novel analysis approach is proposed for finding the ultimate lower bound of the number of infected individuals,which means that the epidemic is uniformly persistent if the control reproduction number R_(c)1.This approach can be applied to the related biomat hem at ical models,and some existing works can be improved by using that.In addition,the infection-free equilibrium V^(0)of the model is locally asymptotically stable(LAS)if R_(c)1.