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Spread of Tuberculosis Among Smokers: A Mathematical Model

Spread of Tuberculosis Among Smokers: A Mathematical Model

Purvi M. Pandya, Ekta N. Jayswal, Yash Shah
Copyright: © 2020 |Pages: 25
ISBN13: 9781799837411|ISBN10: 1799837416|EISBN13: 9781799837428
DOI: 10.4018/978-1-7998-3741-1.ch003
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MLA

Pandya, Purvi M., et al. "Spread of Tuberculosis Among Smokers: A Mathematical Model." Mathematical Models of Infectious Diseases and Social Issues, edited by Nita H. Shah and Mandeep Mittal, IGI Global, 2020, pp. 49-73. https://doi.org/10.4018/978-1-7998-3741-1.ch003

APA

Pandya, P. M., Jayswal, E. N., & Shah, Y. (2020). Spread of Tuberculosis Among Smokers: A Mathematical Model. In N. Shah & M. Mittal (Eds.), Mathematical Models of Infectious Diseases and Social Issues (pp. 49-73). IGI Global. https://doi.org/10.4018/978-1-7998-3741-1.ch003

Chicago

Pandya, Purvi M., Ekta N. Jayswal, and Yash Shah. "Spread of Tuberculosis Among Smokers: A Mathematical Model." In Mathematical Models of Infectious Diseases and Social Issues, edited by Nita H. Shah and Mandeep Mittal, 49-73. Hershey, PA: IGI Global, 2020. https://doi.org/10.4018/978-1-7998-3741-1.ch003

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Abstract

Smoking tobacco has some hazardous implications on an individual's physical, physiological, and psychological health; health of the passive smokers near him or her; and on the surrounding environment. From carcinomas to auto-immune disorders, smoking has a role to play. Therefore, there arises a need to frame a systemic pathway to decipher relationship between smoking and a perilous disease such as tuberculosis. This research work focuses on how drugs or medications can affect individuals who are susceptible to tuberculosis because of smoking habits and also on individuals who have already developed symptoms of tuberculosis due to their smoking addiction. The mathematical model is formulated using non-linear ordinary differential equations, and then threshold is calculated for different equilibrium points using next generation matrix method. Stability analysis along with numerical simulations are carried out to validate the data.

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