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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Mathematical Modeling to Analyse the Impact of Vaccine Efficacy, Media and the Treatment Rate on the Transmission Dynamics of SARS CoV-2 Virus: a Case Study of the Most Affected East Asian Countries

Journal of Applied Nonlinear Dynamics 14(2) (2025) 417--434 | DOI:10.5890/JAND.2025.06.012

Sunil Singh Negi, Nitin Sharma, Pankaj Singh Rana

Department of Mathematics, National Institute of Technology, Uttarakhand, Srinagar Garhwal-246174, India

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Abstract

A deterministic compartment model for the transmission dynamics of coronavirus is formulated in this article. The impact of vaccine efficacy, media effect, and the cure rate of hospitalized individuals is investigated. The threshold quantity basic reproduction number ($R_0$) characterizes the SARS-CoV-2 transmission. It has been observed that the disease-free equilibrium is globally asymptotically stable for ${R}_0\le 1$, and the endemic equilibrium point is globally asymptotically stable for $R_0>1$. The global stability of both the equilibrium points is demonstrated via the Lyapunov function. The developed model has been fitted to the reported cumulative cases for the four most affected East Asian countries namely China, Japan, South Korea, and Taiwan to estimate the parameters. The numerical results indicate that increasing vaccine efficacy $ u_1$, treatment, and media effect can aid in controlling the spread of disease, reducing disease-induced mortality, and improving recovery.

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