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Local Stability Analysis of a River Blindness Disease Model with Control

机译:具有控制的河盲症模型的局部稳定性分析

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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 R_0<1 and unstable if R_0>1.
机译:本文提出了一种数学模型来研究河盲症的动力学。通过实际解来检验模型解的存在性和唯一性。使用下一代矩阵获得有效再现数。获得了无病平衡(DFE)状态并进行了稳定性分析。发现,如果有效再现数R_0 <1,则DFE状态为局部渐近稳定(LAS),如果R_0> 1,则DFE状态为不稳定。

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