EBOLA VIRUS DISEASE SPREAD AND CONTROL IN WEST AFRICA

Abstract: This research studies mathematical model for the dynamics of Ebola virus disease incorporating quarantine and public campaign as controls. The model was developed as a system of six (6) non-linear ordinary differential equations. The population is divided into six (6) compartments, namely: Susceptible S(t), Latent L(t), Infectious I(t), Quarantined  Recovered R(t), and Dead D(t). We obtained and analysed the equilibrium states of the model for stability .The effective Basic Reproduction Number was obtained, which suggests that if , the Disease free equilibrium state is locally asymptotically stable, meaning that the disease dies out in a population, or  if , the Disease free equilibrium state is unstable meaning that disease persists in a population.  The numerical results are clearly displayed, to see the effects of controls on the disease. The control parameters are quarantine ( ), rate of effectiveness of public enlightenment campaign ( ), treatment rate ( ) and rate of proper burial of infectious dead ( ).

Keywords: Ebola, Virus, Disease, Spread, Control, West Africa.

Title: EBOLA VIRUS DISEASE SPREAD AND CONTROL IN WEST AFRICA

Author: Abah Roseline Toyin, Patrick Noah Okolo

International Journal of Recent Research in Mathematics Computer Science and Information Technology

ISSN 2350-1022

Vol. 10, Issue 1, April 2023 - September 2023

Page No: 11-28

Paper Publications

Website: www.paperpublications.org

Published Date: 22-June-2023

DOI: https://doi.org/10.5281/zenodo.8070258

Paper Download link (Source)

https://www.paperpublications.org/upload/book/EBOLA%20VIRUS%20DISEASE%20SPREAD-22062023-3.pdf