School of Physical Sciences (SPS)
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School of Physical Sciences (SPS)
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Item 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.Item 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.Item 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 OlamideThis 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.