Mathematics
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Mathematics
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Item Semi-Analytical Solution for the Mathematical Modeling of Yellow Fever Dynamics Incorporating Secondary Host(Communication in Mathematical Modeling and Applications, 2019-02-20) Somma, Samuel Abu; Akinwande, N. I.,; Abah, R. T.; Oguntolu, F. A.; Ayegbusi, F. D.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.Item Recycling of Municipal Solid Waste: A Deterministic Approach(The Pacific Journal of Science and Technology, 2024-11-10) Abdurrahman, Nurat Olamide; Ibrahim, M. O.Effective waste management aims at minimizing garbage's detrimental effects on the environment, public health, and aesthetics, which also attempts to recover valuable resources and support sustainable development. The Next Generation matrix was employed to calculate the reproduction number, the model Equations were solved using the Differential Transformation Method (D.T.M.), and the obtained the result was simulated using the Maple software. The results showed that waste management will be effective if recycling of waste is given the proper attention that it deserved. It also indicated that waste for disposal will be limited and managing waste will become easier.