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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Mathematical Biology
Volume 10 - 2024 | doi: 10.3389/fams.2024.1460481

Optimal control and cost-effectiveness analysis for bacterial meningitis disease

Provisionally accepted
Malede Atnaw Belay Malede Atnaw Belay 1*Jeconia Okelo Abonyo Jeconia Okelo Abonyo 2Haileyesus Tessema Alemneh Haileyesus Tessema Alemneh 1Habtamu Ayalew Engida Habtamu Ayalew Engida 3Melkamu Molla Molla Ferede Melkamu Molla Molla Ferede 1Samuel Abebe Delnessaw Samuel Abebe Delnessaw 1*
  • 1 University of Gondar, Gondar, Ethiopia
  • 2 Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
  • 3 Debre Markos University, Debre Marqos, Ethiopia

The final, formatted version of the article will be published soon.

    In this paper, an optimal deterministic model for the dynamics of bacterial meningitis disease is developed. The objective is to investigate the efficiency and cost-effectiveness of three controls: prevention, treatment, and screening, in terms of curtailing the spread of bacterial meningitis. To accomplish this, we applied Pontryagin’s maximum principle to derive the optimality system. Different combination strategies were examined to investigate the effect of the interventions on the spread of bacterial meningitis. We used an incremental cost-effectiveness ratio (ICER) to examine which control technique was the most successful. The simulation results show that the combined use of prevention and screening is the most cost-saving and effective strategy. This result is further supported by findings from the objective function and the incremental cost-effectiveness ratio, indicating that maximum utilization of prevention and screening is required for the entire period.quired for the entire period.

    Keywords: Bacterial meningitis, Optimal Control Analysis, Pontryagin's principle, Forward-backward sweep method, incremental cost-effectiveness ratio

    Received: 06 Jul 2024; Accepted: 18 Nov 2024.

    Copyright: © 2024 Belay, Abonyo, Alemneh, Engida, Ferede and Delnessaw. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence:
    Malede Atnaw Belay, University of Gondar, Gondar, Ethiopia
    Samuel Abebe Delnessaw, University of Gondar, Gondar, Ethiopia

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