A Theoretical Assessment of the Effects of Smoking on the Transmission Dynamics of Tuberculosis

被引：0
作者：
C. P. Bhunu
S. Mushayabasa
J. M. Tchuenche
机构：
[1] National University of Science and Technology,Department of Applied Mathematics, Modelling Biomedical Systems Research Group
[2] University of Guelph,Department of Mathematics and Statistics
[3] University of Cambridge,Department of Veterinary Medicine
来源：
Bulletin of Mathematical Biology | 2011年 / 73卷
关键词：
Smoking; Tuberculosis; Reproduction number; Equilibria; Stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Smoking has long being associated with tuberculosis. We present a tuberculosis dynamics model taking into account the fact that some people in the population are smoking in order to assess the effects of smoking on tuberculosis transmission. The epidemic thresholds known as the reproduction numbers and equilibria for the model are determined and stabilities analyzed. Qualitative analysis of the model including positivity and persistence of solutions are presented. The model is numerically analyzed to assess the effects of smoking on the transmission dynamics of tuberculosis. Numerical simulations of the model show that smoking enhances tuberculosis transmission, progression to active disease and in a population of smokers, tuberculosis cannot be controlled even when treatment success is assumed to be as high as 88%. Further, analysis of the reproduction numbers indicates that the number of active tuberculosis cases increases as the number of smokers increase.
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页码：1333 / 1357
页数：24
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