School of Physical Sciences (SPS)

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School of Physical Sciences (SPS)

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    Production of biodiesel from Balanite aegyptiaca seed oil using chemical-activated catalyst produced from coconut shell
    (Nigerian Research Journal of Chemical Sciences, 2024) Alheri, A.; Ago, M. A; Jamila, U. A.; Anyanwu, S. K.,; Bisiriyu, M. T.; Aisha, K. U
    Heterogeneous catalyst produced from coconut waste shell (CWS) via chemical activation was utilized for biodiesel production from Balanite aegyptiaca seed oil. The effects of impregnation ratios (2 – 10 g/cm3), activation temperatures (500 – 900 oC) and time (1 – 3 h) on the yield of catalyst were investigated. The chemical-activated catalyst produced from coconut shell was characterized by Scanning Electron Microscopy (SEM) and Fourier Transform Infra-Red (FT-IR) spectroscopy. The biodiesel was further characterized using GC-MS. The heterogeneous catalyst produced by chemical activation under the following optimum conditions: activation temperature (800 oC), impregnation ratio (3:6g/cm3), and reaction time (1 h) was of high yield. SEM images showed a highly porous characteristic, with lots of cavities and strands on the surface. The optimum conditions to achieve maximum yield of the biodiesel (82.9%) were reaction temperature (40 oC), methanol/oil molar ratios (9:1 cm3), catalyst concentration (1.0 g/cm3) and reaction time (60 min). The fuel properties of biodiesel produced by chemical activation catalyst were: kinematic viscosity (5.70 mm2/s), specific gravity (0.86), pour point (9 oC), flash point (185 oC), cloud point (9 oC), colour 1.0 and cetane number 62. The GC-MS analysis demonstrated the presence of decanoic acid methyl ester, hexadecanoic acid, methyl ester, 4-hexenoic acid methyl ester and pentadecanoic acid methyl ester. The study showed that chemically produced heterogeneous catalyst from coconut waste shell can be used for the production of biodiesel.
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    Assessment of Foliose Epiphytic Lichen (Parmelia sulcata) as Bioindicators of Atmospheric Trace Metals Pollution in Lapai Metropolis, Niger State
    (Science View Journal, 2024-01) Ibrahim, M.; Tsafe, A. I.; Gungshik, J. R.; Abdulkarim, A. M.; Zhikpe, Y. B.; Bisiriyu, M. T.
    The levels of atmospheric trace metals were determined using foliose epiphytic lichens (Parmelia sulcata) samples collected in eight (8) different locations within the residential areas and two control locations outside the residential area of Lapai town in Lapai local government of Niger State. A stratified random sampling technique was adopted and the analysis of the samples with atomic absorption spectrophotometer (AAS) gives the concentration (mg/kg) range of the metals as follows; 1.123-7.837 for Fe, 4.579-6.62 for Pb, 0.210-2.152 for Cr, 0.491-1.171 g for Ni, 0.018-0.983 for Cd, 0.057-1.471 g Zn, 0.198-1.287 for Mn, and 0.098-2.583 for Cu but Selenium was not detected in all the samples. The levels of some of these metals were slightly higher than the recommended USEPA (1993) limits but lower than FEPA (1991) limits. However, the distribution of these metals was not uniform across the samples, though their level was still at the background and very low compared to the reports on similar studies from industrialized areas of South-south and South-west Nigeria and other European countries. The variation in concentration of these metals at p≤0.05 indicates their source is mainly anthropogenic in origin. Epiphytic lichens validate the cost-effectiveness of this method for evaluating, assessing, and identifying depositional sources of the metals in the environment. The study revealed the atmospheric trace metal concentration of the area under study to be at a threshold level and hence the environment is still very safe from atmospheric trace metal pollution.
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    An Appraisal on the Application of Reproduction Number for the Stability Analysis of Disease - Free Equilibrium State for S-I-R Type Models
    (Proceedings of International Conference on Mathematical Modelling Optimization and Analysis of Disease Dynamics (ICMMOADD) 2024, 2024-02-28) Abdurrahman, Nurat Olamide; Somma S. A.; Akinwande, N. I.; Ashezua, T. T.; Gweryina, R.
    One of the key ideas in mathematical biology is the basic reproduction number, which can be utilized to comprehend how a disease epidemic profile might evolve in the future. The basic reproduction number, represented by R0 , is the anticipated number of secondary cases that a typical infectious individual would cause in a population that is fully susceptible. This threshold parameter is highly valuable in characterizing mathematical problems related to infectious diseases. If R0 < 1, this suggests that, on average, during the infectious period, an infected individual produces less than one new infected individual, suggesting that the infection may eventually be eradicated from the population. On the other hand, if R0 < 1, every infected person develops an average of multiple new infections, it suggests that the disease may continue to spread throughout the population. We discuss the Reproduction number in this work and provide some examples, both for straightforward and complicated situations.
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    Mathematical Modeling of Chemotherapy Effects on Brain Tumour Growth
    (International Conference and Advanced Workshop on Modelling and Simulation of Complex Systems, 2024-05-27) Abdurrahman, Nurat Olamide; Ibrahim, Mohammed Olanrewaju; Ibrahim, Jamiu Omotola
    A brain tumor is an abnormal growth or mass of cells in or around the brain. It is also called a central nervous system tumor. Brain tumors can be malignant (cancerous) or benign (non-cancerous). In this work, we proposed a system of nonlinear differential equations that model brain tumor under treatment by chemotherapy, which considers interactions among the glial cells X(t), the cancer cells Y(t), the neurons Z(t), and the chemotherapeutic agent C(t). The chemotherapeutic agent serves as a predator acting on all the cells. We studied the stability analysis of the steady states for both cases of no treatment and continuous treatment using the Jacobian Matrix. We concluded the study with a numerical simulation of the model and discussed the results obtained.
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    Production and Optimization of Sugar Apple Seed Oil,Asa Sustainable and Economically Viable Alternative toOther Commercial Oils
    (CONFERENCE ON AFRICAN DEVELOPMENT STRATEGIES, 2023) Alheri, A.; Ago, M. A.; Jamila, U. A.; Joshua, Y.; Anyanwu, S.K.; Nwakife, N. C.; Makanta, S.A.; Longbap, B. D.; Gani, J; Aisha, K. U.
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    Population dynamics of a mathematical model for Campylobacteriosis
    (Proceedings of International Conference on Mathematical Modelling Optimization and Analysis of Disease Dynamics (ICMMOADD), 2024-02-22) Ashezua, T. T.; Salemkaan, M. T.; Somma, Samuel Abu
    The bacterium campylobacter is the cause of campylobacteriosis, a major cause of foodborne illness that goes by the most common name for diarrheal illnesses. This paper develops and analyzes a new mathematical model for campylobacteriosis. It is demonstrated that in cases where the corresponding reproduction number is smaller than unity, the model's disease-free equilibrium is both locally and globally stable. The numerical simulation results indicate that increasing the treatment rate for both symptomatic and asymptomatic disease-infected individuals resulted in a decrease in the number of asymptomatic and symptomatic individuals, respectively, and a rise in the population's number of recovered individuals.
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    Homotopy Perturbation Analysis of the Spread and Control of Lassa Fever
    (Proceedings of International Conference on Mathematical Modelling Optimization and Analysis of Disease Dynamics (ICMMOADD), 2024-02-22) Tsado, D.; Oguntolu, F. A.; Somma, Samuel Abu
    Lassa fever, a viral infection transmitted by rodents, has emerged as a significant global health concern in recent times. It continues to garner significant attention daily basis owing to its rapid transmission and deadly nature. In this study, the Homotopy Perturbation Analysis was conducted to examine the spread and control of Lassa fever. The human population was categorized into susceptible, exposed, infected, and recovered compartments, while the rodent population was divided into susceptible and infected recovered compartments. By applying the Homotopy Perturbation Analysis to the nonlinear differential equations associated with these compartments, we were able to obtain the analytical solution for the spread and control of Lassa fever. The nonlinear differential equations were integrated into the Homotopy Perturbation framework and solved to form a power series solution. Finally, the final approximate solutions were obtained and simulation results were generated from the general solution graphically.
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    The Algebraic Structure of an Implicit Runge- Kutta Type Method
    (International Journal for Research in Applied Science & Engineering Technology (IJRASET), 2024-11) Raihanatu Muhammad; Abdulmalik Oyedeji
    In this paper, the theory of linear transformation (Homomorphism) and monomorphism is applied to a first-order Runge-Kutta Type Method illustrated in a Butcher Table and the extended second order Runge- Runge-Kutta type Method to substantiate their uniform order and error constants obtained. A homomorphism is a mapping from one group to another group which preserves the group operations. It’s sometimes called the operation preserving function. The methods which initially are Linear Multistep were reformulated into Runge-Kutta (R-K) Type to establish the advantages the R-K has over Linear Multistep. The first-order Linear multistep was reformulated into first-order R-K type which was further extended to second order. This extension can be made to higher order. For this study, the extension was limited to the second order.
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    Modelling the Impacts of Media Campaign and Double Dose Vaccination in Controlling COVID-19 in Nigeria.
    (Alexandria Engineering Journal, 2023-02-21) Akinwande, N. I.; Somma, Samuel Abu; Olayiwola, R. O.; Ashezua, T. T.; Gweryina, R. I.; Oguntolu, F. A.; Abdurahman, O. N.
    Corona virus disease (COVID-19) is a lethal disease that poses public health challenge in both developed and developing countries of the world. Owing to the recent ongoing clinical use of COVID-19 vaccines and noncompliance to COVID-19 health protocols, this study presents a deterministic model with an optimal control problem for assessing the community-level impact of media campaign and double-dose vaccination on the transmission and control of COVID-19. Detailed analysis of the model shows that, using the Lyapunov function theory and the theory of centre manifold, the dynamics of the model is determined essentially by the control reproduction number (𝑅𝑚𝑣). Consequently, the model undergoes the phenomenon of forward bifurcation in the absence of the double dose vaccination effects, where the global disease-free equilibrium is obtained whenever 𝑅𝑚𝑣 ≤ 1. Numerical simulations of the model using data relevant to the transmission dynamics of the disease in Nigeria, show that, certain values of the basic reproduction number ((𝑅0 ≥ 7)) may not prevent the spread of the pandemic even if 100% media compliance is achieved. Nevertheless, with assumed 75% (at 𝑅0 = 4)) media efficacy of double dose vaccination, the community herd immunity to the disease can be attained. Furthermore, Pontryagin’s maximum principle was used for the analysis of the optimized model by which necessary conditions for optimal controls were obtained. In addition, the optimal simulation results reveal that, for situations where the cost of implementing the controls (media campaign and double dose vaccination) considered in this study is low, allocating resources to media campaign-only strategy is more effective than allocating them to a firstdose vaccination strategy. More so, as expected, the combined media campaign-double dose vaccination strategy yields a higher population-level impact than the media campaign-only strategy, double-dose vaccination strategy or media campaign-first dose vaccination strategy.