### Browsing by Author "Ahmed, B. M."

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Item Application of Tropical Geometry on Subsemigroup of Order-Preserving Full Transformation.(Science Association of Nigeria., 2018) Bakare, G. N.; Ibrahim, G. R.; Usamot, I. F.; Ahmed, B. M.Show more This work ties together the tropical geometry and semigroup. We applied tropical geometry on subsemigroup of order-preserving full transformation (OTn) by degenerating the elements of classical algebra into tropical algebra in which the multiplicities were deduced through their tropical curves.Show more Item Global Stability of HBV Epidemic Model(Nigerian Association of Mathematical Physics, 2015-11-01) Dotia, A. K.; Ibrahim, M. O.; Bello, K. A.; Yisa, B. M.; Ahmed, B. M.Show more In this paper, we present an hepatitis B model with multiple transmission ways of the acute counsel, uncounsel and carrier infection classes and derive basic reproduction number, which indicates that hepatitis B is endemic. Existence of disease free and endemic equilibrium state are carried-out. The disease free and endemic equilibrium are shown to be globally asymptotically stable. In addition, we obtained numerical simulation to verify the model predictions. The results suggest that the endemic nature of the model was stable. However, if the control measures put in place can be maximize, then the model can be used to predict the effectiveness of the prophylactic vaccination program in sustaining the population from the spread of the disease.Show more Item Global Stability of HBV Epidemic Model(2015) Dotia, A. K.; Ibrahim, M. O.; Bello, K. A.; Yisa, B.M; Ahmed, B. M.Show more In this paper, we present an hepatitis B model with multiple transmission ways of the acute counsel, uncounsel and carrier infection classes and derive the basic reproduction number, which indicates that hepatitis B is endemic. Existence of Disease Free and Endemic Equilibrium State are carried-out. The disease free and endemic equilibria are shown to be globally asymptotically stable. In addition, we obtained the numerical simulation to verify the model was predictions. The results suggest that the endemic nature of the model was stable. However, if the control measure put in place can be maximize, then the model can be use to predict the effectiveness of the prophylactic vaccination program in sustaining the population from the spread of the disease.Show more Item Optimal Test Strategies for HBV-HIV Co-Infection Model(2019) Dotia, A. K.; Ibrahim, M. O.; Ejieji, C. N.; Bello, K. A.; Ahmed, B. M.; Ajanaku, B.; Kazeem, A. B.; Lawan, A. O.Show more In this paper, we present a deterministic model for the co-interaction of HBV and HIV in a population. Mathematical analyses are carried out, which determines the positivity of solution and optimal control. This study examined the effectiveness of the efforts put in place in eliminating the birth of prenatally infected chronic carrier mother, considering the efficacy of prophylactic vaccine against the incidence of new cases. The scheme shows that the disease can be resisted with vaccination(s) and treatment.Show more Item Stability Analysis of HBV Epidemic Model with Non - Monotonic Incidence Function(Nigerian Association of Mathematical Physics, 2015-11-01) Dotia, A. K.; Ibrahim, M. O.; Bello, K. A.; Yisa, B. M.; Ahmed, B. M.Show more In this paper, we present an hepatitis B model with non-monotonic incidence function. The model, which is of the form of system of nonlinear differential equations, are constructed. This epidemic model is investigated for different classes of infectious diseases that can be transmitted through an effective contact with an infective individuals, who are contagious (symptomatic and asymptomatic carrier). Mathematical analysis are carried out, that determines the equilibria solutions and stability analysis of the equilibria of the model, using nonlinear Lyapunov function of Goh-Volterra type. In addition, we obtained the numerical simulation to verify the model predictions. The result suggest that the endemic nature of the model is approaching equilibrium with increase immunization program and other control measures put in place.Show more Item Tropicalization of idempotent elements on full transformation semigroup.(Faculty of Science, Federal University Lokoja, Kogi State Nigeria., 2018) Usamot, I. F.; Bakare, G. N.; Ahmed, B. M.Show more This paper consists of exposition for tropical geometry and its applications on Idempotent elements in Semigroup of Full Transformation E(Tn). We started the exposition with classical algebra into tropical algebra and shown how tropical curves degenerate tropical polynomial in E(Tn).Show more Item Tropicalization of Idempotent Elements on Full Transformation Semigroup.(Confluence Journal of Pure and Applied Sciences. Published by Faculty of Science, Federal University Lokoja, Kogi State Nigeria., 2018-06) Usamot, I. F.,; Bakare, G. N.,; Ahmed, B. M.Show more This paper consists of exposition for tropical geometry and its applications on Idempotent elements in Semigroup of Full Transformation E(Tn) . We started the exposition with classical algebra into tropical algebra and shown how tropical curves degenerate tropical polynomial in E(Tn).Show more