Browsing by Author "Odetunde, Opeyemi"

Now showing 1 - 4 of 4
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    Integrated Collocation Approximation Methods for Solving High Order Ordinary Differential Equations
    (Journal of the Nigerian Association of Mathematical Physics, 2017-09) Ayinla, Ally Yeketi; Ogunniran, Muhyideen O.; Odetunde, Opeyemi
    This work deals with integrated collocation approximation methods for solving high order ordinary differential equations by Chebyshev polynomials and power series bases functions. The assumed approximate solution in terms of Chebyshev polynomials and power series are substituted into the general high order ordinary differential equations considered. Thus, after simplification, the resulting equation is then collocated for both cases and thus resulted into algebraic linear system of equations which are then solved by Mathematica 5.2 to obtain the unknown constants involved in the approximate solution. The methods are illustrated on three examples. The results obtained in terms of absolute errors are tabulated for comparison. From the tables of results, we observed that Chebyshev polynomials approximation gives better result for all cases of N (i.e. the degree of approximant) in the work.
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    Reproduction number of vertical transmission of measles model.
    (Journal of Mathematical Sciences, published by National Mathematical Centre, Abuja, 2015) Odetunde, Opeyemi; Ibrahim, Mohammed O.; Ayoade, A. A.; Abubakar, Jos U.
    In this model, we study the reproduction number of measles epidemiology, the rate of vertical transmission of measles and antibodies, including the effect of maternal antibody on the spread of measles to the infant. We exempt the vaccinated class due to the finding of Viera Scheibner [2]. We demonstrate that the disease will die out, if the basic reproductive number R0<1. This is the case of a disease-free state, with no infection in the population. Otherwise the disease may become endemic if the basic reproductive number R0 is bigger than unity. The basic reproduction number at both the disease Free State and the endemic state were obtained and the result shows stability in the effect of mother to child transmission of either disease or immunity
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    ROLE OF REINFECTION IN TRANSMISSION DYNAMICS OF COVID-19: A SEMI-ANALYTICAL APPROACH USING DIFFERENTIAL TRANSFORM METHOD
    (Malaysian Journal of Computing, 2021-03-02) Odetunde, Opeyemi; Jibril, Lawal; Ayinla, Ally Yeketi
    Reinfection of a recovered individual either as a result of relapse or new contact no doubt poses a major threat to the eradication of an infection within the host community. In this work, the role of re-infection in the transmission dynamics of COVID-19 was considered and analysed using the semi-analytical tool Differential Transform Method (DTM). COVID-19 (also known as Coronavirus) has shut down the economy of the world since it became a global pandemic. A mathematical model was constructed with consideration of multiple pathways of infection transmission, the treatment strategies and policies adopted (social distancing, wearing of face mask and so on) to limit the spread of the infection globally. The non-linear system of equations governing the model was solved using DTM and the resulting series solution was compared with the standard numeric Runge-Kutta order 4 (RK4). It was discovered that re-integration of a recovered individual into the susceptible community without observing the prevention guidelines such as social distancing, washing of hands and proper sanitizing could increase the spread of the infection since the recovered individuals are not guaranteed of immunity against the infection after recovery. The study concluded that families of recovered patients must ensure adequate preventive measure while integrating their recovered loved ones back to their midst.
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    Sensitivity Analysis Applied to the Progression (Deterioration) Rate of Hepatitis ‘B’ to Primary Liver Cancer
    (Journal of Mathematical Sciences 4(1) 907-918. Published by National Mathematical Center, 2016) Odetunde, Opeyemi; Ibrahim, Mohammed Olanrewaju