MATHEMATICAL ANALYSIS OF LASSA FEVER MODEL WITH ISOLATION
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Date
2016-09
Journal Title
Journal ISSN
Volume Title
Publisher
Asian Journal of Natural & Applied Sciences
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.
Description
Staff Publication
Keywords
Lassa,, Reproduction Number,, Equilibrium points and, Stability