Assessing the impact of transmissibility on a cluster-based COVID-19 model in India

作     者：Tanvi Mohammad Sajid Rajiv Aggarwal Ashutosh Rajput 

作者机构：Department of Mathematics Shaheed Rajguru College of Applied Sciences for Women University of DelhiNew Delhi 110096India Mechanical Engineering Department College of EngineeringQassim UniversitySaudi Arabia Department of Mathematics Deshbandhu CollegeUniversity of Delhi New Delhi-110019India Department of MathematicsFaculty of Mathematical Sciences University of DelhiNew Delhi-110007India 

出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)

年 卷 期：2021年第12卷第3期

页      面：76-98页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：Center for Fundamental Research in Space Dynamics and Celestial Mechanics (CFRSC) 

主　　题：Mathematical modeling COVID-19 basic reproduction number stabilaity sensitivity index 

摘      要：In this paper,we have proposed a nonlinear mathematical model of different classes of individuals for coronavirus(COVID-19).The model incorporates the effect of transmission and treatment on the occurrence of new *** the model,the basic reproduction number(R_(0))has been *** to the threshold quantity(R_(0)),the stability of endemic and disease-free equilibrium(DFE)points are *** R_(0)1,if the endemic equilibrium point exists,then it is locally asymptotically stable,whereas the DFE point is globally asymptotically stable for R_(0)1 which implies the eradication of the *** effects of various parameters on the spread of COVID-19 are discussed in the segment of sensitivity *** model is numerically simulated to understand the effect of reproduction number on the transmission dynamics of the disease *** the numerical simulations,it is concluded that if the reproduction number for the coronavirus disease is reduced below unity by decreasing the transmission rate and detecting more number of infectives,then the epidemic can be eradicated from the population.