A mathematical model for the spread of COVID-19 and control mechanisms in Saudi Arabia

Advances in Difference Equations

article

Bachar, Mostafa¹  Khamsi, Mohamed A.²  Bounkhel, Messaoud¹ 

[1] Department of Mathematics, College of Sciences, King Saud University;Department of Mathematics, Kalifa University, United Arab Emirates

关键词: Contact tracing;    Testing;    Quarantine;    COVID-19 EIISSRREx -model;    Stability;    Parameter estimations;   

DOI  :  10.1186/s13662-021-03410-z

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this work, we develop and analyze a nonautonomous mathematical model for the spread of the new corona-virus disease (COVID-19) in Saudi Arabia. The model includes eight time-dependent compartments: the dynamics of low-risk$S_{L}$ and high-risk$S_{M}$ susceptible individuals; the compartment of exposed individuals E; the compartment of infected individuals (divided into two compartments, namely those of infected undiagnosed individuals$I_{U}$ and the one consisting of infected diagnosed individuals$I_{D}$ ); the compartment of recovered undiagnosed individuals$R_{U}$ , that of recovered diagnosed$R_{D}$ individuals, and the compartment of extinct Ex individuals. We investigate the persistence and the local stability including the reproduction number of the model, taking into account the control measures imposed by the authorities. We perform a parameter estimation over a short period of the total duration of the pandemic based on the COVID-19 epidemiological data, including the number of infected, recovered, and extinct individuals, in different time episodes of the COVID-19 spread.

【 授权许可】

CC BY