Browsing by Author "Somma, S. A."

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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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    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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    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.