Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa
Joint Authors
Rachah, Amira
Torres, Delfim F. M.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The Ebola virus is currently one of the most virulent pathogens for humans.
The latest major outbreak occurred in Guinea, Sierra Leone, and Liberia in 2014.
With the aim of understanding the spread of infection in the affected countries,it is crucial to modelize the virus and simulate it.
In this paper, we begin by studying a simple mathematical model that describes the 2014 Ebola outbreak in Liberia.
Then, we use numerical simulations and available data provided by the World Health Organization to validate the obtained mathematical model.
Moreover, we develop a new mathematical model including vaccination of individuals.
We discuss different cases of vaccination in order to predict the effect of vaccination on the infected individuals over time.
Finally, we apply optimal control to study the impact of vaccination on the spread of the Ebola virus.
The optimal control problem is solved numerically by using a direct multiple shooting method.
American Psychological Association (APA)
Rachah, Amira& Torres, Delfim F. M.. 2015. Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060787
Modern Language Association (MLA)
Rachah, Amira& Torres, Delfim F. M.. Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1060787
American Medical Association (AMA)
Rachah, Amira& Torres, Delfim F. M.. Mathematical Modelling, Simulation, and Optimal Control of the 2014 Ebola Outbreak in West Africa. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060787
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060787