Study of transmission dynamics of novel COVID-19 by using mathematical model

Advances in Difference Equations

article

Ud Din, Rahim¹  Shah, Kamal¹  Ahmad, Imtiaz¹  Abdeljawad, Thabet² 

[1] Department of Mathematical, University of Malakand;Department of Mathematics and General Sciences, Prince Sultan University;Department of Medical Research, China Medical University;Department of Computer Science and Information Engineering, Asia University

关键词: Mathematical model;    Novel coronavirus-19;    Nonstandard finite difference scheme;    Immigration rate;   

DOI  :  10.1186/s13662-020-02783-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this research work, we present a mathematical model for novel coronavirus-19 infectious disease which consists of three different compartments: susceptible, infected, and recovered under convex incident rate involving immigration rate. We first derive the formulation of the model. Also, we give some qualitative aspects for the model including existence of equilibriums and its stability results by using various tools of nonlinear analysis. Then, by means of the nonstandard finite difference scheme (NSFD), we simulate the results for the data of Wuhan city against two different sets of values of immigration parameter. By means of simulation, we show how protection, exposure, death, and cure rates affect the susceptible, infected, and recovered population with the passage of time involving immigration. On the basis of simulation, we observe the dynamical behavior due to immigration of susceptible and infected classes or one of these two.

【 授权许可】

CC BY