Mathematical Modeling of the Transmission Dynamics and Control of RVFV

Rift Valley fever (RVF) is an infectious disease caused by the RVF virus of the genus Phlebovirus and family Bunyaviridae and transmitted between animal species, including cattle, sheep, goats and camels, primarily through the bite of the female mosquito, usually Aedes or Culex (P epin et al., 2010). Rift Valley fever (RVF) was first identified in Egypt in 1931 (Daubney et al., 1931) and is endemic in the eastern and southern regions of Africa (Meegan et al., 1981). Sheep, goats and cattle are the most important domestic animal hosts affected when viewed from an economic standpoint (Meegan et al., 1981). Rift Valley Fever is a vector-borne disease mainly transmitted by mosquitoes. With the aim of obtaining deeper insight or understanding on the transmission dynamics of the disease, a deterministic model with mosquito, livestock and human populations is formulated as a system of non-linear ordinary differential equations and analysed. The study considered a problem of interaction of population of human, livestock and mosquito each divided into susceptible and infected classes. This book is useful to students and new researchers on the area of Epidemiology.

Autorentext

Jonnes J. Lugoye is the Assistant Lecturer at Dar es Salaam Maritime Institute. He graduated from Tumaini University-Iringa (BEd-Mathematics) and University of Dar es Salaam (MSc. Mathematical Modelling). He worked at Bunda Teachers College as a Tutor. Currently, he teaches Calculus, PDE and Spherical Triangles to undergraduate students.