Optimal Control Strategies Applied to a Mathematical Model of Meningitis

Authors

  • Sahar A. Mohamed Department of Physics, Faculty of Science and Technology, Al-Neelain University, Khartoum, Sudan
  • Hasim A. Obaid General Requirements, Ahmed Bin Mohammed Military College, Doha, Qatar
  • Eihab B. M. Bashier Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar, Oman
  • Kailash C. Patidar Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, South Africa

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6129

Keywords:

Mathematical biology, meningitis, optimal control, vaccination, treatment

Abstract

In this paper, we deal with the problem of optimal control for the transmission dynamics of the meningococcal meningitis. The problem is a mathematical model described by a system of nonlinear differential equations. Based on this, two controls are formulated and the resulting system is solved as an optimal control problem. Aiming to minimize the number of illnesses or deaths in the population, we used a control representing a vaccination and another one representing a treatment strategy. We prove that these controls are capable of reducing the number of carriers and infectious individuals. Numerical simulations are carried out to show how to perform the two strategies.

Author Biographies

  • Sahar A. Mohamed, Department of Physics, Faculty of Science and Technology, Al-Neelain University, Khartoum, Sudan

    Department of Physics, M.Sc.

  • Hasim A. Obaid, General Requirements, Ahmed Bin Mohammed Military College, Doha, Qatar

    General Requirements, Assistant Professor

  • Eihab B. M. Bashier, Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar, Oman

    Department of Mathematics, Assistant Professor

  • Kailash C. Patidar, Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, South Africa

    Department of Mathematics and Applied Mathematics, Full Professor

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Published

2025-08-05

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Biosciences

License

Copyright (c) 2025 Sahar A. Mohamed, Hasim A. Obaid, Eihab B. M. Bashier, Kailash C. Patidar

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How to Cite

Optimal Control Strategies Applied to a Mathematical Model of Meningitis. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6129. https://doi.org/10.29020/nybg.ejpam.v18i3.6129