Local Stability Analysis of a River Blindness Disease Model with Control
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Date
2018-05
Journal Title
Journal ISSN
Volume Title
Publisher
The 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 reproduction number R0 < 1 and unstable if R0 > 1.
Description
Keywords
Basic reproduction number, Disease free equilibrium, River blindness, Stability
Citation
F. A. Oguntolu, G. Bolarin, S. A. Somma & A. O. Bello (2018). Local Stability Analysis of a River Blindness Disease Model with Control. The Pacific Journal of Science and Technology; (19)1: 151-158, ISSN (1551-76240)