Browsing by Author "Ninuola Ifeoluwa Akinwande"

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    Bifurcation Analysis on the Mathematical Model of Measles Disease Dynamics
    (Horizon Research Publishing Co., Ltd., 2013-12) Samuel Abubakar; Ninuola Ifeoluwa Akinwande; Sirajo Abdulrahman; Festus Abiodun Oguntolu
    In this paper we proposed a Mathematical model of Measles disease dynamics. The Disease Free Equilibrium (DFE) state, Endemic Equilibrium (EE) states and the characteristic equation of the model were obtained. The condition for the stability of the Disease Free equilibrium state was obtained. We analyze the bifurcation of the Disease Free Equilibrium (DFE) and the result of the analysis was presented in a tabular form.
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    Semi-analytical solution for the mathematical modeling of yellow fever dynamics incorporating secondary host
    (Communication in Mathematical Modeling and Applications (CMMA), 2019-04-15) Samuel Abu Somma; Ninuola Ifeoluwa Akinwande; Roseline Toyin Abah; Festus Abiodun Oguntolu; Florence Dami Ayegbusi
    In this paper we use Differential Transformation Method (DTM) to solve the mathematical modeling of yellow fever dynamics incorporating secondary host. The DTM numerical solution was compared with the MAPLE RungeKutta 4-th order. The variable and parameter values used for analytical solution were estimated from the data obtained from World Health Organization (WHO) and UNICEF. The results obtained are in good agreement with Runge-Kutta. The solution was also presented graphically and gives better understanding of the model. The graphical solution showed that vaccination rate and recovery rate play a vital role in eradicating the yellow fever in a community.