Mathematics

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Mathematics

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    Stability Analysis for Mathematical Modeling of Dengue Fever Transmission and Control
    (Proceedings of International Conference on Contemporary Developments in Mathematical Sciences (ICCDMS), 2021-04-13) Aliyu, A. H.; Akinwande, N. I.; Somma Samuel Abu
    Dengue fever is one of the greatest health challenges in the present world. In this work, mathematical modeling of dengue fever transmission and control was formulated. The model considered the human population h N and the vector population m N which are further subdivided into six classes, susceptible human 𝑆, infected human 𝐼, temporary recovered human class 1 R, permanently recovered human class 2 R , susceptible mosquito 1 M, and infected mosquito class 2 M . The Disease Free Equilibrium (DFE) point was obtained and the basic Reproduction number 0 R was computed. The Disease Free Equilibrium (DFE) is locally and globally asymptotically stable when 1 0  R .
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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 .