School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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Author: search.filters.author.Abdurrahman, Nurat Olamide

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Now showing 1 - 8 of 8
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    Stability Analysis of the Mathematical Modelling of Transmission and Control of Rabies Incorporating Vaccination Class
    (Dutse Journal of Pure and Applied Sciences (DUJOPAS),, 2022-03-12) Abdurrahman, Nurat Olamide; Somma, S. A.; Balogun R. T.; Eguda F. Y.; Adama, P. W.; Yisa E. M.
    Rabies is a viral disease of the nervous system that is often transmitted to human beings through the bite or scratch of rabid animals. The uprising of insecurity globally has forced several people to get dogs into their homes. This paper formulated the mathematical model of rabies transmission and control by incorporating vaccination class. The model's Disease Free Equilibrium (DFE) state was obtained and used to compute the basic reproduction number R0. Local stability analysis of the DFE was carried out using Jacobian Matrix techniques. The DFE is locally asymptotically stable if R0 < 1.
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    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.
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    Homotopy Perturbation Method (HPM) for Solving Mathematical Modelling of Monkey Pox virus
    (National Mathematical Center, 2021-03-22) Abdurrahman, Nurat Olamide; Somma S. A.; Ayegbusi F. D.; Adama P. W.; Gana P.; Eguda F. Y.
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    Mathematical Modelling for the Effect of Malaria on the Heterozygous and Homozygous Genes
    (ICAPTA, 2018-03-25) Abdurrahman, Nurat Olamide; Akinwande, Ninuola Ifeoluwa; Somma, S. A.
    This paper models the effect of malaria on the homozygous for the normal gene (AA), heterozygous for the sickle cell gene (AS), and homozygous for the sickle cell gene (SS) using the first-order ordinary differential equation. The Diseases Free Equilibrium (DFE) was obtained and used to compute the basic reproduction Number Ro. The local stability of the (DFE) was analyzed.
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    Mathematical Modeling of Algae Population Dynamics on the Surface of Water
    (The Pacific Journal of Science and Technology, 2019-11-22) Abdurrahman, Nurat Olamide; Somma, S. A.; Akinwande, N. I.
    The paper presented an analytical solution of the exponential growth model of algae population dynamics on the water surface. The Computer Symbolic Algebraic Package, MAPLE, is used to simulate the graphical profiles of the population with time while varying the parameters, such as diffusion and rate of change of algae density, governing the subsistence or extinction of the water organisms.
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    STABILITY ANALYSIS OF LOGISTIC GROWTH MODELOF ALGAE POPULATION DYNAMICS ON A WATER BODY
    (Journal of Science, Technology, Mathematics and Education (JOSTMED), 2019-03-12) Abdurrahman, Nurat Olamide
    This work analyses the stability of the equilibrium state of a logistic growth model of the Algae population dynamics on a water body, thereby obtaining the critical patch length, which will determine the subsistence or extinction of the water organisms.
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    Mathematical modelling of solid waste management
    (International Journal of Mathematical Analysis and Modelling, 2023-07-21) Abdurrahman, Nurat Olamide; Ibrahim, Mohammed Olanrewaju
    Solid waste is anything that comes from domestic, commercial, or industrial sources that is no longer needed. It is deposited as undesired. Waste disposal did not become an issue when there were few habitations and a lot of open space. Waste disposal becomes a real concern in towns and cities when more individuals move there in pursuit of employment [6,12]. Using a set of ordinary differential equations, a mathematical model for managing solid waste is put forth in this study. The solution’s existence and uniqueness are proven. In order to simulate the sensitive parameter for solid waste management, the next-generation matrix is used to identify the basic reproduction number R0. It has been found that when waste production increases, so does the rate at which energy is produced from waste.
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    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.