School of Physical Sciences (SPS)
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School of Physical Sciences (SPS)
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Item Mathematical Modeling of the Spread of False Information within Social Media(Ilorin Journal of Science, 2024-10-15) Abdurrahman, Nurat Olamide; Ibrahim, M. O.; Ibrahim, J. O.One of the societal pollutions in our environment that requires overhauling intervention is the spread of false information. In this paper, we modelled the spread of rumor in a continuous and dynamic population of five compartments. We considered an incubation period which allows rumormongers to verify the authenticity of information received before spreading. Stability analysis of the rumor-free equilibrium (RFE) and the rumor-present equilibrium (RPE) was carried out. The RPE is a function of the reproduction number R0. In order to annihilate the rumor, the results suggest that we should reduce R0 continuously below 1. The results are numerically validated and discussed.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.