Mathematics http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/68 2026-06-10T03:08:19Z 2026-06-10T03:08:19Z Bako, Deborah IBRAHIM, Sani Doro SAGIR, Abdu Masanawa http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31670 2026-06-09T22:44:42Z 2026-03-01T00:00:00Z

Title: A Self-Starting Block Methods (SSBMs) for the Solution of Ordinary Differential Equations Authors: Bako, Deborah; IBRAHIM, Sani Doro; SAGIR, Abdu Masanawa Abstract: In this paper, self-starting block numerical methods for the solution of stiff initial value problems ordinary differential equations were developed. The Backward Differentiation Formulas and Generalized Backward Differentiation Formulas are used in the derivations. The E-transformation is applied to the triples and self-starting methods are obtained. The numerical implementation of the methods on ordinary differential equations are reported to show the effectiveness and efficiency of the methods. The computational of convergence of absolute stability and consistent tends to the theoretical order as h tends to zero

2026-03-01T00:00:00Z BAKO, Deborah Ushafa Oluwafemi, T. J. Akinwande, N.I. http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31637 2026-06-02T19:04:45Z 2024-01-01T00:00:00Z

Title: MATHEMATICAL MODELLING OF THE TRANSMISSION AND CONTROL OF DIABETES Authors: BAKO, Deborah Ushafa; Oluwafemi, T. J.; Akinwande, N.I. Abstract: Today, all countries of the world suffer from the high number of people with diabetes, which is increasing and expanding on the extreme level. If left untreated, diabetes can precede the development of severe complications over time that can harm the heart, blood vessels, eyes, teeth, kidneys, nerves, and ultimately lead to death (CDC, 2022). Diabetic complications are a leading cause of amputations, which leave the victim permanently disabled. Some of the major complications include cardiovascular disease, which causes mortality among diabetics (IDF, 2021). Diabetic adults have a two to three times higher risk of heart attacks and strokes (Sarwar et al., 2020). Another complication is diabetic neuropathy, which is defined as nerve damage due to high blood sugar. The most common type is peripheral neuropathy, which mostly affects the feet when combined with restricted blood flow, it rises risks of foot ulcers and infections, eventually leading to limb amputations (WHO, 2021). Furthermore, diabetic retinopathy, or diabetic eye disease, is a common cause of blindness due to long-term damage to the retina’s tiny blood vessels. Diabetes has rendered almost one million individual blinds (GBD, 2019).

2024-01-01T00:00:00Z BAKO, Deborah Ushafa Bello, M. K. Akinwande, N.I. Abdulraham, S Kuta, F.A. http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31636 2026-06-02T18:57:51Z 2016-01-01T00:00:00Z

Title: MATHEMATICAL MODEL FOR TRANSMISSION DYNAMICS AND CONTROL ANALYSIS OF TRYPANOSOMIASIS (SLEEPING SICKNESS) Authors: BAKO, Deborah Ushafa; Bello, M. K.; Akinwande, N.I.; Abdulraham, S; Kuta, F.A. Abstract: In this thesis a Mathematical model for the transmission dynamics and control of trypanosomiasis commonly called African sleeping sickness was developed and analyzed. Three interacting population of humans, livestock and vector were considered. The West African Sleeping Sickness (Chronic) caused by Trypanosoma BruceiGambiense evolving two stages; hemo-lymphatic and meningo-encephalitic were considered. The threshold value for the effective reproduction number was obtained and the threshold value was used to obtain the conditions for local and global stabilities of the Disease-free and Endemic equilibrium states. The Disease-free equilibrium state is locally asymptotically stable if .The method of Castillo-Chavel was used to establish the global stability of the Disease-free equilibrium. We use the general bifurcation theory based on the approach by Castillo-Chavel and Song to analyze the local stability of the endemic equilibrium point, also considering the global behavior of the endemic equilibrium point, we constructed a suitable Lyapunov function based on the approach by Korobeinikov

2016-01-01T00:00:00Z BAKO, Deborah Ushafa http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/31635 2026-06-02T18:45:47Z 2020-01-01T00:00:00Z

Title: STABILITY ANALYSIS OF TOBACCO SMOKING MODEL: THE CASE OF BACTERIAL INFECTION Authors: BAKO, Deborah Ushafa Abstract: In this paper, we describe a tobacco smoking epidemic model with ten (10) compartments and used ordinary differential equations to describe the dynamics. The effective reproduction number was obtained and used as a threshold for the spread of bacterial infection through tobacco smoking. It was found that whenever , the tobacco smoking-free equilibrium of the model is globally asymptotically stable (GAS) and the endemic equilibrium is stable if otherwise.

2020-01-01T00:00:00Z