Author:
Ahmad Saeed,Ullah Rafi,Baleanu Dumitru
Abstract
AbstractThis research work investigates some theoretical and semi-analytical results for the mathematical model of tuberculosis disease via derivative due to Caputo and Fabrizio. The concerned derivative involves exponential kernel and very recently it has been adapted for various applied problems. The required results are established by using some fixed point approach of Krasnoselskii and Banach. Further, by the use of iterative tools of Adomian decomposition and Laplace, the semi-analytical results are studied. Some graphical results are given with discussion.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference39 articles.
1. Morse, D., Brothwell, D.R., Ucko, P.J.: Tuberculosis in ancient Egypt. Am. Rev. Respir. Dis. 90(4), 524–541 (1964)
2. Aparicio, J.P., Capurro, A.F., Castillo-Chavez, C.: Transmission and dynamics of tuberculosis on generalized households. J. Theor. Biol. 206, 327–341 (2000)
3. Floyd, K., Glaziou, P., Zumla, A., Raviglione, M.: The global tuberculosis epidemic and progress in care, prevention, and research: an overview in year 3 of the end TB era. Lancet Respir. Med. 6(4), 299–314 (2018)
4. Dye, C.: Global epidemiology of tuberculosis. Lancet 367(9514), 938–940 (2006)
5. Colditz, G.A., Brewer, T.F., Berkey, C.S., Wilson, M.E., Burdick, E., Fineberg, H.V., Mosteller, F.: Efficacy of BCG vaccine in the prevention of tuberculosis: meta-analysis of the published literature. JAMA 271(9), 698–702 (1994)
Cited by
20 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献