http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/85 SPS 2026-06-10T01:38:42Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31506 Title: MATHEMATICAL FEASIBLE SOLUTIONS FOR CURBING ONCHOCERCIASIS (RIVER BLINDNESS) Authors: BAKO, Deborah Ushafa; Akinwande, N. I; Abdulraham, S; Enagi, I. A Abstract: In this paper, a mathematical model for the transmission dynamics and control of Onchocerciasis was developed incorporating the infectious but not blind and the infectious blind compartments. The model consisting of systems of coupled nonlinear ordinary differential equation are used to describe this spread. We obtain the effective reproductive number , and its values computed using 5 different control strategies were carried out and result shows that although, a 60% treatment coverage rate of infectious but not blind and infectious blind individuals only is better than 80% treatment coverage rate of infectious but not blind individuals only. A 40% coverage rate of fumigation and treatment of infectious but not blind is better than a 40% coverage rate of fumigation only. Further analysis revealed that a 30% coverage rate of fumigation and treatment of infectious blind is better than 80% coverage rate of fumigation only or fumigation and treatment of infectious but not blind only. Also, sensitivity analysis was carried out with respect to the model parameter values to determine the relative importance of each model parameter on the transmission and control of onchocerciasis. From the result, effective fumigation rate has the highest sensitivity index followed by the effective contact rate while the negative sensitivity index is . 2016-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31492 Title: Third Refinement of Parametric Reaccelerated Overrelaxation Iterative Method for Linear Algebraic Systems Authors: BAKO, Deborah Ushafa; Wangwa, A; Ndanusa, A Abstract: The solution of large-scale linear algebraic systems of the form , is a critical challenge in scientific computing, with iterative methods playing a pivotal role in addressing these systems efficiently. Building upon prior advancements by Isah et. al., 2022 and Vatti et. al., 2020, this study introduces the Third Refinement of the Parametric Reaccelerated Overrelaxation (TRPROR) method, an iterative scheme that synergizes features of Accelerated Overrelaxation (AOR), Parametric Accelerated Overrelaxation (PAOR), and Reaccelerated Overrelaxation (ROR) methods. The refined method optimizes parameter selection to enhance convergence rates and computational efficiency. The goal in all iterative methods for solving linear systems is to minimize the spectral radius to reduce the number of iterations required for convergence. Numerical examples demonstrated the superior efficiency of the TRPROR method compared to the standard AOR, ROR, PAOR, and PROR method. 2024-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31491 Title: MATHEMATICAL MODELLING OF CYBERSECURITY THREATS AND MITIGATION STRATEGIES Authors: BAKO, Deborah Ushafa; Oluwafemi, T. J.; Odo, C.E.; Ige, J.M. Abstract: Cyber security threats are a major issue in the world today, this is why understanding the propagation of cyber-attacks is a very fundamental requirement for the establishment of strategies to control and absolutely reduce the damage of major cyber security threats on the cyber space. In this work, we explored the application of mathematical modeling to analyze and mitigate cyber security threats. As cyber attacks are becoming increasingly sophisticated, the need for robust and quantifiable methods to detect, prevent, and respond to these threats is more critical than ever. Mathematical modeling provides a structured and systematic approach to understanding the dynamics of cyber security threats, enabling organizations to develop more effective defense mechanisms. A proof of this is the findings from this study that shows that cyber security threats can significantly decrease the effectiveness of cyber networks. Both fields tend to totally rely on mathematical techniques to represent and simulate systems, identify vulnerabilities, and strategically formulate effective countermeasures. 2025-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31490 Title: Mathematical Modelling of Cholera and typhoid co-infection transmission dynamics Authors: BAKO, Deborah Ushafa; IGE, O. M; Oluwafemi, T. J.; Odo, C.E Abstract: Typhoid and Cholera remains the most endemic diseases, and thus, of major public health concerns in tropical developing countries. In this study, we develop a deterministic compartmental mathematical model for assessing the effects of education campaigns, vaccination and treatment on controlling the transmission dynamics of typhoid and cholera in the community. We have shown that the disease free equilibrium state of the model is locally asymptotically stable if the basic reproduction number is less than unity. Careful analysis of the effective reproduction number has shown that, each of the intervention; education campaigns, vaccination or treatment has an effect in decreasing the transmission of typhoid and cholera in the community. Sensitivity analysis shows that, the most sensitive parameters are recovery rate for symptomatic infectious individuals, recruitment rate, vaccination rate, education campaign and transmission rate for carrier individuals. Both numerical and analytical results suggest that multiple control strategies are more effective than a single control strategy. 2024-01-01T00:00:00Z