Analysis of a TB model with treatment interruptions
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Authors
Luju Liu
- School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023, China.
Yan Wang
- College of Science, China University of Petroleum, Qingdao, 266580, China.
Abstract
In this article, a TB transmission model with treatment interruptions is established. The control reproduction numbers which completely determine the long behaviors of the TB model are explicitly given.
By applying the comparison principle and constructing proper Lyapunov functions, the global asymptotic
stability of equilibria is analyzed. The numerical simulations show that the treatment of active TB cases has
always a positive effect on controlling the TB epidemic; while treatment interruptions may have a negative,
positive or no effect on combating the TB epidemic.
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ISRP Style
Luju Liu, Yan Wang, Analysis of a TB model with treatment interruptions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1549--1563
AMA Style
Liu Luju, Wang Yan, Analysis of a TB model with treatment interruptions. J. Nonlinear Sci. Appl. (2016); 9(4):1549--1563
Chicago/Turabian Style
Liu, Luju, Wang, Yan. "Analysis of a TB model with treatment interruptions." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1549--1563
Keywords
- TB transmission model
- treatment interruptions
- the control reproduction number
- Lyapunov function
- globally asymptotically stable.
MSC
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