References
- R Ross. The prevention of malaria. Nature. 1910;85:263–264. doi: 10.1038/085263a0
- AA Adeyemo, O Oluwatosin, OO Omotade. Study of streptomycin-induced ototoxicity: protocol for a longitudinal study. Springerplus. 2016;5(1):758. doi: 10.1186/s40064-016-2429-5
- CE Barry. Lessons from seven decades of antituberculosis drug discovery. Curr Top Med Chem. 2011;11(10):1216–1225. doi: 10.2174/156802611795429158
- Y Ma, CR Horsburgh, LF White, et al. Quantifying TB transmission: a systematic review of reproduction number and serial interval estimates for tuberculosis. Epidemiol Infect. 2018;146(12):1478–1494. doi: 10.1017/S0950268818001760
- H Cao, Y Zhou. The discrete age-structured SEIT model with application to tuberculosis transmission in China. Math Computer Model. 2012;55(3):385–395. doi: 10.1016/j.mcm.2011.08.017
- C Castillo-Chavez, Z Feng. To treat or not to treat: the case of tuberculosis. J Math Biol. 1997;35:629–656. doi: 10.1007/s002850050069
- Z Feng, C Castillo-Chavez, AF Capurro. A model for tuberculosis with exogenous reinfection. Theor Popul Biol. 2000;7(3):235–247. doi: 10.1006/tpbi.2000.1451
- MS Abdelouahab, A Arama, R Lozi. Bifurcation analysis of a model of the tuberculosis epidemic with the treatment of a wider population suggesting a possible role in the seasonality of this disease. Chaos. 2021;12:123125. doi: 10.1063/5.0057635
- B Chennaf, MS Abdelouahab, R Lozi. Analysis of the dynamics of tuberculosis in Algeria using a compartmental VSEIT model with evaluation of the vaccination and treatment effects. Computation. 2023;11:146. doi: 10.3390/computation11070146
- Tuberculosis (TB). Centers for Disease Control and Prevention, 2021. [Accessed 2023 Aug 16]. Available from: https://www.cdc.gov/tb/topic/basics/signsandsymptoms.htm.
- WHO. Global Tuberculosis Report; World Health Organization: Geneva, Switzerland, 2023. [Accessed 2023 Aug 16]. Available from: https://extranet.who.int/tme/generateCSV.asp?ds=notifications.
- J Ferlugaa, H Yasminb, MN Al-Ahdalc, et al. Natural and trained innate immunity against mycobacterium tuberculosis. Immunobiology. 2020;225:151951. doi: 10.1016/j.imbio.2020.151951
- P van den Driessche. Reproduction numbers of infectious disease models. Infect Dis Model. 2017;2:288–303.
- VAC M. Koeken, AJ Verrall, MG Netea, et al. Trained innate immunity and resistance to Mycobacterium tuberculosis infection. Clin Microbiol Infect. 2019;25:1468–1472. doi: 10.1016/j.cmi.2019.02.015
- L Allen, P Van den Driessche. The basic reproduction number in some discrete-time epidemic models. J Differ Equations Appl. 2008;14(10-11):1127–1147. doi: 10.1080/10236190802332308
- S Elaydi, JM Cushing, A Aziz Yakubu. Discrete mathematical biology and epidemiology. Springer; 2023.
- M Martcheva. An introduction to mathematical epidemiology. Springer; 2015. (Texts in Applied Mathematics; vol. 61).
- SN Elaydi. An introduction to difference equations. 3rd ed. New York: Springer Verlag; 2005.
- SN Elaydi. Discrete chaos. 2nd ed. Chapman Hall & CRC; 2007.
- JP LaSalle. The stability and control of discrete processes. New York: Springer-Verlag; 1986. (Applied Math. Sciences; vol. 82).
- P Van Den Driessche, A-A Yakubu. Disease extinction versus persistence in discrete-time epidemic models. Bull Math Biol. 2019;81:4412–4446. doi: 10.1007/s11538-018-0426-2
- S Lang. Real and functional analysis. Springer; 1993.
- S Elaydi, Y Kang, R Luis. Global asymptotic stability of the evolutionary periodic ricker competition model. J Differ Equations Appl. 2023:903–915.
- E D'Aniello, S Elaydi. The structure of ω-limit sets of asymptotically non-autonomous discrete dynamical systems. Discrete Continuous Dyn Syst, Ser B. 2020;25(3):903–915. doi: 10.3934/dcdsb.2019195
- K Mokni, S Elaydi, M CH-Chaoui, et al. Discrete evolutionary population models: a new approach. J Biol Dyn. 2020;14(1):454–478. doi: 10.1080/17513758.2020.1772997
- Z Shuai, P van den Driessche. Global stability of infectious disease models using lyapunov functions. SIAM J Appl Math. 2013;73(4):1513–1532. doi: 10.1137/120876642
- NIDA. The rise and fall of tuberculosis in the United States. National Institute on Drug Abuse, 1 Jul. 1998, [Accessed 2021 Dec 14]. Available from: https://archives.drugabuse.gov/news-events/nida-notes/1998/07/rise-falltuberculosis-in-united-states.