http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/145 2026-05-27T16:09:48Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31509 Title: MATHEMATICAL MODELLING OF WASTE MANAGEMENT SYSTEM WITH RECYCLING AND TREATMENT Authors: BAKO, Deborah Ushafa; Ayenajeyi, S Abstract: In this study, a deterministic mathematical model that explains the transmission dynamics of waste management systems is proposed and analyzed. Positivity and boundedness of solution of the model are proved and basic reproduction number is computed using the next-generation matrix method. The existence of a unique waste management free and endemic equilibrium points are investigated. Then, we study the local asymptotic stability of these equilibrium points. The analysis shows that the system has a locally asymptotically stable waste management -free equilibrium point whenever the reproduction number is R0 < 1 and locally asymptotically stable endemic equilibrium point whenever the reproduction number is . The simulation result shows the agreement with the analytical results. 2026-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31508 Title: MATHEMATICAL MODELLING OF CHILTRAFFICKING DYNAMICS WITH INTERVENTION STRATEGIES Authors: BAKO, Deborah Ushafa; Yamawo, H Abstract: In this study we, developed and analysed a deterministic model for the transmission dynamics and control of Child trafficking by incorporating prevention strategies such as enhance rescue operations and rehabilitation program. The model is proved to be both epidemiologically and mathematically well posed. We showed that all solutions of the model are positive and bounded with initial conditions in a certain meaningful set. The existence of unique child trafficking free and endemic equilibrium points are investigated and the basic reproduction number is computed. Then, we study the local asymptotic stability of these equilibrium points. The analysis shows that the system has a locally asymptotically stable child trafficking-free equilibrium point whenever the reproduction number is and locally asymptotically stable endemic equilibrium point whenever the reproduction number is . The simulation result shows the agreement with the analytical results. 2026-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31507 Title: MATHEMATICAL MODEL FOR THE TRANSMISSION DYNAMICS OF EBOLA INCORPORATING OPTIMAL CONTROL STRATEGIES Authors: BAKO, Deborah Ushafa Abstract: Ebola Virus Disease remains one of the most deadly infectious diseases affecting several African countries due to its high transmission and mortality rates. Understanding the transmission dynamics of the disease is essential for developing effective intervention and control strategies. In this study, a deterministic compartmental mathematical model for the transmission dynamics of Ebola Virus Disease is developed and analyzed. The total population is divided into six epidemiological compartments namely susceptible, exposed, infectious, hospitalized, recovered, and Ebola-induced death classes. The model incorporates important epidemiological factors such as hospitalization, recovery, disease-induced mortality, and quarantine-related interventions. The study concludes that timely intervention strategies and strict public health measures are effective tools for mitigating the spread of Ebola Virus Disease. The developed model provides useful insights for policymakers, epidemiologists, and public health authorities in planning and implementing effective disease control programs. 2025-01-01T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/29804 Title: Behaviour of Contaminant in a Flow due to Variations in the Cross-Flow dispersion under a Dirichlet Boundary Conditions Authors: Jimoh, O. R; Adebayo, A; Salihu, N. O; Bako, D Abstract: The advection-dispersion equation (ADE) is mostly adopted in evaluating solute migration in a flow. This study presents the behavior of contaminant in a flow due to variations in the cross-flow dispersion under a Dirichlet boundary conditions. The analytical solution of a two-dimensional advection-dispersionequation for evaluating groundwater contamination in a homogeneous finite medium which is initially assumed not contaminant free was obtained. In deriving the model equation, it was assumed that there was a constant point-source concentration at the origin and a Dirichlet type boundary condition at the exit boundary. The cross-flow dispersion coefficients, velocities and decay terms are time-dependent. The modeled equation was transformed using some space and time variables and solved by parameter expanding and Eigen functions expansion method. Graphs were plotted to study the behavior of the contaminant in the flow. The results showed that increase in the cross-flow coefficient decline the concentration of the contaminant with respect to increase in time, vertical distance and horizontal distance in different patterns 2024-01-01T00:00:00Z