Mathematical model of COVID-19 dynamics in the presence of multiple controls

J. O. Akanni, Fatmawati (), S. Ajao, J. K. K. Asamoah and S. F. Abimbade
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J. O. Akanni: Koladaisi University
Fatmawati: Universitas Airlangga
S. Ajao: Elizade University
J. K. K. Asamoah: Saveetha School of Engineering SIMATS
S. F. Abimbade: Ladoke Akintola University of Technology

Quality & Quantity: International Journal of Methodology, 2025, vol. 59, issue 1, No 11, 290 pages

Abstract: Abstract The coronavirus disease 19 (COVID-19), caused by the Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-COV-2), is an infectious disease constituting the most significant challenge to human and socio-economic development across the globe. Many studies have been conducted to gain more knowledge on the dynamic spread of SARS-COV-2 in the community of people. In this study, a new mathematical model made up of a system of non-linear ODEs is designed and meticulously analyzed to understand the dynamics of transmission of COVID-19. Specific necessary properties exhibited by the COVID-19 model are examined through the theory of non-negativity and boundedness of solutions. The threshold parameter measuring the invasion potential of COVID-19 in the population is worked out by employing the Next Generation Matrix approach. The model is shown to have two endemic equilibria whenever basic reproduction number $$\mathcal {R}_{0}

Keywords: Mathematical modelling; COVID-19; Dynamical system; Sensitivity analysis; LHS/PRCC; Optimal control analysis; cost-effectiveness analysis; 49J15 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11135-024-01975-x

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