Modeling, dynamics and optimal control of Ebola virus spread
Abstract
We present a mathematical analysis of the early detection of Ebola virus. The propagation of the virus is analysed by using a Susceptible, Infected, Recovered (SIR) model. In order to provide useful predictions about the potential transmission of the virus, we analyse and simulate the SIR model with vital dynamics, by adding demographic effects and an induced death rate. Then, we compute the equilibria of the model. The numerical simulations confirm the theoretical analysis. Our study describes the 2015 detection of Ebola virus in Guinea, the parameters of the model being identified from the World Health Organization data. Finally, we consider an optimal control problem of the propagation of the Ebola virus, minimizing the number of infected individuals while taking into account the cost of vaccination.
Keywords
Cite
@article{arxiv.1603.05794,
title = {Modeling, dynamics and optimal control of Ebola virus spread},
author = {Amira Rachah and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1603.05794},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form will be published in the International Journal 'Pure and Applied Functional Analysis', ISSN 2189-3756 (print), ISSN 2189-3764 (online). Submitted 01-Dec-2015; revised 17-Mar-2016; accepted for publication 18-Mar-2016