A SIQ mathematical model on COVID-19 investigating the lockdown effect

作     者：Archana Singh Bhadauria Rachana Pathak Manisha Chaudhary 

作者机构：Department of Mathematics and StatisticsDeen Dayal Upadhyaya Gorakhpur UniversityGorakhpurU.PIndia Department of Applied Science and Humanities(Mathematics)Faculty of Engineering&TechnologyUniversity of LucknowLucknowU.PIndia Department of Applied ScienceMadhav Institute of Technology and ScienceGwaliorM.PIndia 

出 版 物：《Infectious Disease Modelling》 (传染病建模（英文）)

年 卷 期：2021年第6卷第1期

页      面：244-257页

学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 1002[医学-临床医学] 100201[医学-内科学(含：心血管病、血液病、呼吸系病、消化系病、内分泌与代谢病、肾病、风湿病、传染病)] 100401[医学-流行病与卫生统计学] 10[医学] 

基　　金：This work is partially supported by UGC-BSR Startup grant Number 30e466/2019(BSR)for which the authors thankfully acknowledge 

主　　题：System Stability Persistence Sensitivity analysis 

摘      要：This research paper aims at studying the impact of lockdown on the dynamics of novel Corona Virus Disease(COVID-19)emerged in Wuhan city of China in December *** the pandemic situation throughout the world,Government of India restricted international passenger traffic through land check post(Liang,2020)and imposed complete lockdown in the country on 24 March *** study the impact of lockdown on disease dynamics we consider a three-dimensional mathematical model using nonlinear ordinary differential *** proposed model has been studied using stability theory of nonlinear ordinary differential *** reproduction ratio is computed and significant parameters responsible to keep basic reproduction ratio less than one are *** study reveals that disease vanishes from the system only if complete lockdown is imposed otherwise disease will always persist in the ***,disease can be kept under control by implementing contact tracing and quarantine measures as well along with lockdown if lockdown is imposed partially.