Mathematical Modeling and Analysis of Transmission of Rift Valley Fever
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Date
2019-05
Authors
Paul Njoroge, Kamau
Journal Title
Journal ISSN
Volume Title
Publisher
Kenyatta University
Abstract
RVF is an infectious disease that is primarily caused by mosquito bites to animals with
possibilities of spreading to humans. The disease poses a major threat to animals, humans and
the economy of the country. To understand the patterns of how RVF spreads, we have to
understand the factors that influence the spread of this infectious disease. This mathematical
model is a system of ODEs for the spread of the RVF virus in mosquitoes and animals. SIR
model has been used to model the transmission of the virus in livestock by dividing the
population into three compartments: the Susceptibles (S), Infectives (I) and Recovered (R), that
is N=S+I+R. SI model has been used for Aedes and Culex mosquito population with N=S+I.
We have shown that RO=0.0061 and the disease free equilibrium is asymptotically stable and the
virus can be removed from the population. Numerical simulation has been done using Runge-
Kutta and MATLAB.
Description
A Research Project Submitted in Partial Fulfillment of the Requirements for the Award of the Degree of Master of Science in Applied Mathematics in the School of Pure and Applied Sciences of Kenyatta University, May, 2019