Local Stability Analysis of a River Blindness Disease Model with Control
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Date
2018-05-12
Journal Title
Journal ISSN
Volume Title
Publisher
Pacific Journal of Science and Technology.
Abstract
In this paper, a mathematical model to study the
dynamics of River Blindness is presented. The
existence and uniqueness of solutions of the
model were examined by actual solution. The
effective reproduction number was obtained using
the next generation matrix. The Disease Free
Equilibrium (DFE) State was obtained and
analysed for stability. It was found that, the DFE
State is Locally Asymptotically Stable (LAS) if the
effective
unstable if
reproduction number
R
0
1
.
Description
Keywords
basic reproduction number, disease free equilibrium, river blindness, stability