A Mathematical Model of Rabies Transmission Dynamics in Dogs Incorporating Public Health Education as a Control Strategy -A Case Study of Makueni County
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Date
2020
Authors
Musaili, Jane S.
Chepkwony, Isaac
Journal Title
Journal ISSN
Volume Title
Publisher
Sciencedomain International
Abstract
Rabies is a zoonotic viral disease that affects all mammals including human beings. Dogs are
responsible for 99% of human rabies cases and the disease is always fatal once the symptoms
appear. In Kenya the disease is still endemic despite the fact that there are efficient vaccines for
controlling the disease. In this project, we developed SIRS mathematical model using a system of
ordinary differential equations from the model to study the transmission dynamics of rabies virus
in dogs using public health education as a control strategy. The reproduction number R0 was
calculated using the Next Generation Matrix. Both disease free and endemics equilibrium points
were determined and their stability analysis performed. From the stability analysis results it was
found out that the disease free equilibrium point is both locally and globally asymptotically stable
when R0 < 1 and the endemic equilibrium point is both locally and globally asymptotically stable
when R0 > 1. Numerical simulations done using Matlab indicated that education of the public
on administration of both pre and post exposure vaccines to dogs and responsible dog ownership
Description
Research article
Keywords
Rabies, reproduction number, stability, numerical simulation
Citation
Journal of Advances in Mathematics and Computer Science. Vol 35, Issue 1, pp 1-11, 2020