mmnsa

Mathematical Modelling and Numerical Simulation with Applications

2791-8564

Mehmet YAVUZ

10.53391/mmnsa.2022.009

Bioinformatics and Computational Biology Applied Mathematics

Biyoinformatik ve Hesaplamalı Biyoloji Uygulamalı Matematik

An optimal control strategy and Grünwald-Letnikov finite-difference numerical scheme for the fractional-order COVID-19 model

https://orcid.org/0000-0002-4076-9063

Ul Haq

Ihtisham

Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000, Khyber Pakhtunkhwa

https://orcid.org/0000-0002-6920-3194

Ali

Nigar

Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000, Khyber Pakhtunkhwa

https://orcid.org/0000-0001-5769-4320

Nisar

Kottakkaran Sooppy

Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University

06 30 2022

2 2 108 116 04 17 2022 06 20 2022

2021

Mathematical Modelling and Numerical Simulation with Applications

In this article, a mathematical model of the COVID-19 pandemic with control parameters is introduced. The main objective of this study is to determine the most effective model for predicting the transmission dynamic of COVID-19 using a deterministic model with control variables. For this purpose, we introduce three control variables to reduce the number of infected and asymptomatic or undiagnosed populations in the considered model. Existence and necessary optimal conditions are also established. The Grünwald-Letnikov non-standard weighted average finite difference method (GL-NWAFDM) is developed for solving the proposed optimal control system. Further, we prove the stability of the considered numerical method. Graphical representations and analysis are presented to verify the theoretical results.

Caputo fractional derivative optimal control strategy Grünwald-Letnikov numerical method stability analysis

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