A Mathematical Model for the Epidemiology of Tuberculosis with Estimate of the Basic Reproduction Number
نویسنده
چکیده
In this paper, we study a vaccination model for tuberculosis (TB) dynamics at the population level. We prove that the solution to the model is positive and bounded. The basic reproduction number is determined. We show that the disease-free equilibrium (DFE) is globally asymptotically stable if and the existence of at least one endemic equilibrium of the model. Numerical simulations of the model is also carried out to show the efficacy of the vaccine. Numerical experiments suggest that a strategy of continuous vaccination would result in a more stable DFE for disease elimination.
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تاریخ انتشار 2013