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

Zineb El Rhoubari (), Hajar Besbassi, Khalid Hattaf and Noura Yousfi
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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
Noura Yousfi: Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik

A chapter in Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, 2021, pp 99-114 from Springer

Abstract: 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.

Keywords: Ebola virus; Vaccination; Treatment; General incidence rate; Optimization (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-73241-7_7

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DOI: 10.1007/978-3-030-73241-7_7

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