Browsing by Author "Abioye, A. I"
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Item Application of Adomian Decomposition Method on a Mathematical Model of malaria.(union of researchers of Macedonia., 2020) Abioye, A. I; Peter, O. J; Ayoade, A. A; Uwaheren, O. A; Ibrahim, M. OIn this paper, we consider a deterministic model of malaria transmission. Adomian decomposition method (ADM) is used to calculate an approximation to the solution of the non-linear couple of differential equations governing the model. Classical fourth-order Runge-Kutta method implemented in Maple18 confirms the validity of the ADM in solving the problem. Graphical results show that ADM agrees with R-K 4. In order words, these produced the same behaviour, validating ADM’s efficiency and accuracy of ADM in finding the malaria model solution.Item Application of Homotopy Perturbation Method to an SIR Mumps Model(union of researchers of Macedonia., 2020) Ayoade, A. A; Peter, O. J; Abioye, A. I; Adinum, T. F; Uwaheren, O. AMumps is one of the diseases that pose global threat to children well-being. In this paper, the problem of the spread of mumps in a closed population is investigated using a SIR compartmental model. Mathematical interpretation of the problem generates nonlinear first-order differential equations. The method of Homotopy Perturbation is adopted to derive the theoretical solutions of the system. Numerical simulations of the analytical results are carried out with the help of Maple 18 software and the solutions are presented in graphical form. The solutions show that Homotopy Perturbation Method (HPM) is an appropriate technique for solving epidemic models.Item Fungal Diversity in selected Cultivated Farmland within the University of Ilorin Campus(Federal University of Kashere-Nigeria., 2022-03) Ahmed, Oladimeji; Abioye, A. I; Omiyale, R. OThis study was carried out to determine the fungal biota composition of selected agricultural soils and to determine the soil pH level and organic matter content that supports the observed fungal community in the soils within the University of Ilorin campus. Serial dilution technique was used to determine the fungal colony count of the sampled soils. Soil pH was determined with the use of p H meter and organic matter content of the soil was determined using the Walky Black procedure. Nine species of fungi belonging to seven genera were isolated from all the sampled soils. The fungi were identified as Aspergillus flavus, Aspergillus niger, Aspergillus ochraceous, Botryodiplodia theobromae, Cladosporium sp., Fusarium verticilloides, Penicillium sp., Phomopsis sp. and Pythium sp. There was no significant difference (p˃0.05) in the population of the isolated fungi in all the sampled soils except for Phomopsis sp. in soybean cultivated soil samples and Fusarium sp. in soils sampled from zone C. The results also showed no significant difference (p˃0.05) in the organic matter content of the soils. The sampled soils were generally slightly acidic with pH values ranging between 6.03 and 6.88. Significant differences (p<0.05) only existed between the pH values of cassava cultivated soils obtained from the different zones. These organic matter content and the p H values of the soils were found to be within the range suitable for the survival of the fungal community in the study area.