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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

A Study on Optimal Control of a COVID-19 Transmission Model with the Significance of Early Screening and Testing Measures

Journal of Applied Nonlinear Dynamics 12(3) (2023) 485--496 | DOI:10.5890/JAND.2023.09.005

Nandhini Mohankumar, Lavanya Rajagopal

Department of Mathematics, Coimbatore Institute of Technology, Tamilnadu, India

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Abstract

In this paper, we present a deterministic $SEQIR$ mathematical model that describes the transmission dynamics of COVID-19 that also includes testing procedures in the quarantine stage. The reproduction number $R_0$ is derived with some properties of the model. The stability of equilibrium points is analyzed. An objective function is proposed and optimal control strategies are derived using Pontryagin's Maximum Principle. The existence and uniqueness of an optimality system are demonstrated. Numerical simulations are presented in different scenarios with the control interventions early screening, prevention measures of COVID-19, and following a healthy lifestyle. The main objective of the paper is to eradicate the disease in exposed stage. The chosen control variables helps us to reduce the exposed population.

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