MATHEMATICAL ANALYSIS OF LASSA FEVER MODEL WITH ISOLATION

Abstract

In this paper, a mathematical model with isolation of infected individuals for the transmission of Lassa fever is developed and analyzed. We obtained the basic reproduction number o R which is the average number of new secondary infection generated by a single infected individual/rat during infectious period. The analysis shows that the disease free equilibrium is locally and globally asymptotically stable whenever the threshold quantity o R is less than unity i.e. R 1 o  . The endemic equilibrium of the model exists under certain condition. The numerical analysis carried out using MAPLE 17 software. The result shows that the isolation of infected individuals reduces the dynamical spread of Lassa as there will be less interaction with the infected individual in the society, the result also shows that treatment of infected-isolated individuals gives a better result which means that government should intensify effort in isolation and the treatment of isolated-infected individuals in order to control the spread of the disease.