期刊
MATHEMATICAL BIOSCIENCES AND ENGINEERING
卷 3, 期 4, 页码 603-614出版社
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/mbe.2006.3.603
关键词
Lyapunov function; global stability; tuberculosis; fast and slow progression
The spread of tuberculosis is studied through two models which include fast and slow progression to the infected class. For each model, Lyapunov functions are used to show that when the basic reproduction number is less than or equal to one, the disease-free equilibrium is globally asymptotically stable, and when it is greater than one there is an endemic equilibrium which is globally asymptotically stable.
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