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Title: Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
Author: Rachah, Amira
Torres, Delfim F. M.
Keywords: SEIR models
Demographic effects
Vital dynamics
Induced death rates
Optimal control
Issue Date: 2018
Publisher: University of Ankara
Abstract: Ebola virus is one of the most virulent pathogens for humans. We present a mathematical description of different Susceptible-Exposed-Infectious-Recovered (SEIR) models. By using mathematical modeling and analysis, the latest major outbreak of Ebola virus in West Africa is described. Our aim is to study and discuss the properties of SEIR models with respect to Ebola virus, the information they provide, and when the models make sense. We added to the basic SEIR model demographic effects in order to analyze the equilibria with vital dynamics. Numerical simulations confirm the theoretical analysis. The control of the propagation of the virus through vaccination is investigated and the case study of Liberia is discussed in detail.
Peer review: yes
DOI: 10.1501/Commua1_0000000841
ISSN: 1303-5991
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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