International Journal of Science and Technology

International Journal of Science and Technology>> Volume 7, Number 2, February 2017

International Journal of Science and Technology


The Stability Analysis of the Endemic Equilibrium State of Ebola Virus Disease Transmission in West Africa

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Author Kalu A. U., Agbanyim Akuagwu N. , Onum K.Nkpa
Volume No. 5
Issue No. 9
Issue Date September 01, 2015
Publishing Date September 01, 2015
Keywords Endemic Equilibrium, Stability Analysis, Reproduction Number, Routh-Hurwitz Criterion


Abstract

The Ebola virus disease is a very infectious and viral disease that is currently ravaging most part of West Africa causing so much mortality and threatening the lives of so many others. If left uncontrolled it could spread to other parts of the world and become a global threat to human existence. In order to help in the global effort to control the spread or even eradicate the disease we present a mathematical model based on the standard SEIR model, in which the population is partitioned into compartments or classes based on the epidemiological state of individuals within the population. The endemic equilibrium point of the model was established and its stability analysis carried out using the basic reproduction number, Ro of Ebola. From the stability analysis it was found out that the Ebola virus disease could be controlled or even be eradicated if effort is made to ensure that the total breakdown of the Susceptible and the latent classes is always less than the total removal rates from the susceptible, the latent and the infectious classes. Some recommendations that would help to meet the established condition were made.

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2015 IRPN Publishers