Mathematics

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Mathematics

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    Local Stability Analysis of a River Blindness Disease Model with Control
    (Pacific Journal of Science and Technology., 2018-05-12) Oguntolu, F. A.; Bolarin, G. A.; Somma, Samuel Abu; Bello, A. O.
    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 .