Article ID Journal Published Year Pages File Type
5471483 Applied Mathematical Modelling 2016 11 Pages PDF
Abstract
A tuberculosis model with two kinds of treatment, that is, treatment at home and treatment in hospital, is constructed. Mathematical analyses show that the dynamics of model are determined by the basic reproduction number R0. If R0 < 1, then the disease free equilibrium is globally asymptotically stable. If R0 > 1, the endemic equilibrium is globally asymptotically stable when patients who are not cured do not transfer from hospital to home. Numerical simulations are also given to support our theoretical results. Our results show that the treatment at home has great negative influence on the spread of the tuberculosis.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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