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All Journal Jambura Journal of Biomathematics (JJBM)
Abdulwahab Ridwan
Department of Mathematical Sciences, Federal University of Technology, Akure, P.M.B. 704, Akure, Ondo State
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics Public Health

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Mathematical Modeling of COVID-19: An Optimal Control Approach Ayodeji Sunday Afolabi; Abdulwahab Ridwan
Jambura Journal of Biomathematics (JJBM) Vol. 7 No. 1: March 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v7i1.2

Abstract

A non-linear mathematical model is developed to describe the transmission dynamics of COVID-19. The model’s well-posedness is verified by analyzing the positivity and boundedness of its solutions. Analytical expressions for the disease-free equilibrium points are derived and the stability analyses of the disease-free and endemic equilibrium points are conducted. A sensitivity analysis of the model parameters with respect to the basic reproduction number (R0) is carried out to identify the key factors influencing COVID-19 transmission. Consequently, the model is extended into an optimal control problem by incorporating three time-dependent interventions: preventive measures (such as travel restrictions and personal protection), continuous vaccination of susceptible individuals, and testing, isolation, and treatment of infected cases. Four control strategies, each combining at least two interventions, are explored. The autonomous and non-autonomous systems are analyzed. Numerical simulations indicate that implementing the three control measures concurrently provides the most effective strategy to mitigating the spread of COVID-19.
Co-Authors Ayodeji Sunday Afolabi