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Kenyatta University (2019)

Mathematical Modeling and Analysis of Transmission of Rift Valley Fever

Paul Njoroge, Kamau

Titre : Mathematical Modeling and Analysis of Transmission of Rift Valley Fever

Auteur : Paul Njoroge, Kamau

Université de soutenance  : Kenyatta University

Grade : Master of Science in Applied Mathematics 2019

Résumé
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.

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Page publiée le 20 juin 2022