Global dynamics of COPD and tuberculosis among smokers

• Shah, Nita H. ^[1] ; Pandya, Purvi M. ^[1] ; Satia, Moksha H. ^[1] ; Suthar, Ankush H. ^[1]
  1. [1] Gujarat University

     Gujarat University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 2, 2020, págs. 383-399
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-02-0023
• Enlaces
  • Texto completo
• Resumen

  • Chronic Obstructive Pulmonary Disease (COPD) and tuberculosis among smokers have turned out to be major public health concern, accounting for millions of deaths annually. Smoking is becoming like a trend in human society. This adds in maximizing the risk of people suffering from most dreadful health issues and the reason for extensive morbidity and mortality around the world. People who smoke have approximately twice the risk of suffering from tuberculosis and also COPD patients with the history of tuberculosis writhes in agony. To scrutinize spread of this disease, an understanding of the epidemiological relationship between them are important. The relation between COPD, tuberculosis among smokers and medication is studied in this research work and the formulation for the mathematical model is done using system of non-linear ordinary differential equations. The threshold for smokers suffering from COPD and tuberculosis who needs medication is computed using next generation matrix method. Also, stability analysis and numerical simulations are carried out to validate the data.

• Referencias bibliográficas
  • M. Adak, “Effects of smoking and need for cessation: biochemical and pharmacological feedback”, Biochemistry & pharmacology, vol. 03,...
  • M. Al-Hamdani, D. B. Hopkins, and T. Park, “Vaping among youth and young adults: a ‘red alert’ state”, Journal of public health policy, vol....
  • A. S. Buist, M. A. Mcburnie, W. M. Vollmer, S. Gillespie, P. Burney, D. M. Mannino, A. M. Menezes, S. D. Sullivan, T. A. Lee, K. B. Weiss,...
  • D. Dabas, “Therapies for smoking cessation: a meta-analysis of double-blind randomized controlled trials”, Journal of health sciences &...
  • P. Davies, W. W. Yew, D. Ganguly, A. L. Davidow, L. B. Reichman, K. Dheda, and G. A. Rook, “Smoking and tuberculosis: the epidemiological...
  • O. Diekmann, J. A. P. Heesterbeek, and M. G. Roberts, “The construction of next-generation matrices for compartmental epidemic models”, Journal...
  • J.-Y. Feng, S.-F. Huang, W.-Y. Ting, M.-C. Lee, Y.-C. Chen, Y.-Y. Lin, Y.-C. Lee, and W.-J. Su, “Impact of cigarette smoking on latent tuberculosis...
  • R. Gupta, A. Bharat, U. Dhiman, and A. Sharma, “Nicotine replacement therapy: A smoking cessation aid… an overview”, International journal...
  • P. Jha, B. Jacob, V. Gajalakshmi, P. C. Gupta, N. Dhingra, R. Kumar, D. N. Sinha, R. P. Dikshit, D. K. Parida, R. Kamadod, J. Boreham, and...
  • S. Tamgadge, “Tobacco cessation - scissor the consumption – a review”, International clinical pathology journal, vol. 5, no. 3, pp. 241–246,...
  • J. P. LaSalle, The stability of dynamical systems, vol. 25. Philadelphia, PA: SIAM, 1976, doi: 10.1137/1.9781611970432.
  • C.-H. Lee, M.-C. Lee, C.-C. Shu, C.-S. Lim, J.-Y. Wang, L.-N. Lee, and K.-M. Chao, “Risk factors for pulmonary tuberculosis in patients with...
  • C. C. Leung, W. W. Yew, C. K. Chan, K. C. Chang, W. S. Law, S. N. Lee, L. B. Tai, E. C. Leung, R. K. Au, S. S. Huang, and C. M. Tam, “Smoking...
  • H.-H. Lin, M. Murray, T. Cohen, C. Colijn, and M. Ezzati, “Effects of smoking and solid-fuel use on COPD, lung cancer, and tuberculosis in...
  • E. J. Routh, A treatise on the stability of a given state of motion: particularly steady motio. London: Macmillan and Co., 1877. [On line]....
  • S. S. Salvi and P. J. Barnes, “Chronic obstructive pulmonary disease in non-smokers,” The Lancet, vol. 374, no. 9691, pp. 733–743, Aug. 2009,...
  • R. N. V. Z. Smit, M. Pai, W. W. Yew, C. C. Leung, A. Zumla, E. D. Bateman, and K. Dheda, “Global lung health: the colliding epidemics of tuberculosis,...
  • S. Widodo, R. N. Rohmah, B. Handaga, and L. D. D. Arini, “Lung diseases detection caused by smoking using support vector machine”, TELKOMNIKA...
  • C. Zaher, R. Halbert, R. Dubois, D. George, and D. Nonikov, “Smoking-related diseases: the importance of COPD”, The international journal...