Browsing by Author "Yisa, B. M."

Now showing 1 - 2 of 2
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    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.
    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.
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    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.
    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.