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Global Properties and Optimal Control Strategies of a Generalized Ebola Virus Disease Model

In: Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells

Author

Listed:
  • Zineb El Rhoubari

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik)

  • Hajar Besbassi

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik)

  • Khalid Hattaf

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik
    Centre Régional des Métiers de l’Education et de la Formation (CRMEF))

  • Noura Yousfi

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik)

Abstract

In this chapter, we propose three strategies to control Ebola virus disease (EVD) by constructing a mathematical model that takes into account the vaccination of susceptibles and the treatment of infectious. We consider two modes of transmission, one from an infectious individual who is still alive and the other from dead to the living during funerals. Both modes of transmission are modeled by two general incidence functions that cover the classical incidences existing in the literature. The dynamical behavior of the proposed model is investigated. The optimal strategies are determined by Pontryagin’s minimum principle. A numerical method is proposed to solve the optimality system.

Suggested Citation

  • Zineb El Rhoubari & Hajar Besbassi & Khalid Hattaf & Noura Yousfi, 2021. "Global Properties and Optimal Control Strategies of a Generalized Ebola Virus Disease Model," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, pages 99-114, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-73241-7_7
    DOI: 10.1007/978-3-030-73241-7_7
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