Modelling the transmission of multidrug-resistant and extensively drug-resistant tuberculosis

Advances in Disease Epidemiology

Volumn , Issue , 2009, Pages 195-220

  Bhunu, C P ^a   Gariraa, W ^a,b  

^a NATIONAL UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Zimbabwe)

^b UNIVERSITY OF VENDA   (South Africa)

Author keywords

Extensively drug resistant tuberculosis; First line tubercusis drugs; Multidrug resistant tuberculosis; Second line tuberculosis drugs

Indexed keywords

EID: 84895405336     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (37)

1. Alexender ME, Bowman C, Gumel AB et al., A vaccination model for transmission dynamics of influenza, SIAM J. Appl. Dynam. Syst (2004), 3:503-524.
2. Andrews JR et al., Multidrug-resistant and extensively drug-resistant tuberculosis: Implications for the HIV epidemic and antiretroviral therapy rollout in South Africa, J. Inf. Dis. (2007), 196:482-90.
3. Arino J, Cooke KL, van den Driessche P, Velasco-Hernandez J, An epidemiology model that includes a leaky vaccine with general waning function, Discr. Cont. Dynam. Syst. B. (2004), 4:479-495.
4. Blower SM, Gerberding JL, Understanding, predicting and controlling the emergence of drug-resistant tuberculosis: a theoretical framework, J. Mol. Med. (1998), 76:624- 636.
5. Blower SM, Small PM, Hopewell PC, Control strategies for tuberculosis epidemics, Sci. (1996), 273:497-500.
6. Bhunu C, GariraW, Mukandavire Z, Zimba M, Tuberculosis transimission model with chemoprophylaxis and treatment, Bull. Math. Biol. (2008), 70:1163-1191.
7. Bhunu C, Garira W, Mukandavire Z, Magomebedze G, Modelling the effects of preexposure and post-exposure vaccines in tuberculosis control, J. Theor. Biol.(2008), doi:10.1016/j.jtbi:2008.06.023
8. Birkhoff G, Rota GC, Ordinary differential equations, Ginn,1982
9. Carr J, Applications Centre Manifold theory, Springer-Verlag, New York, 1981
10. Castillo-Chavez C, Feng Z, To treat or not to treat: The case of tuberculosis, J. Math. Biol. (1997), 35:629-656.
11. Castillo-Chavez C, Feng Z, Mathematical models for the disease dynamics of tuberculosis, In Advances in Mathematical Population Dynamics - Molecules, Cells and Man (Arino O., Axelrod D. and Kimmel M., Eds) World Scientific (1996), 629-656.
12. Castillo-Chavez C, Song B, Dynamical models of tuberculosis and their applications, Math. Biosci. Engrg. (2004), 1(2): 361-404.
13. Davies PDO. Multi-drug resistant tuberculosis.Priory Lodge Education Ltd, (1999).
14. Diekman 0, Heesterbeek JAP, Metz JAP, On the definition and computation of the basic reproduction ratio R0 in models for infectious diseases, J. Math. Biol. (1990), 28:365-382.
15. Dushoff J, Huang W, Castillo-Chavez C, Backward bifurcations and catastrophe in simple models of fatal diseases, J.Math. Biol. (1998), 36:227-248.
16. Dye C, Schele S, Dolin P, Pathania V, Raviglione M, Prospects for worldwide tuberculosis control under the WHO DOTS strategy. Directly observed short-course therapy, Lancet (1998), 352:1886-1891.
17. Dye C, Schele S, Dolin P, Pathania V, Raviglione M, For the WHO global surveillance and monitoring project. Global burden of tuberculosis estimated incidence, prevalence and mortality by country, J.A.M.A. (1999), 282:677-686.
18. Dye C,Williams BR, Criteria for the control of drug-resistant tuberculosis, Proc. Natl. Acad. Sci. (2000), 1-6.
19. Espinal MA, Kim SJ, Suarez PG, Kam KM, Khomenko AG, Migliori GB, Baz J, Kochi A, Dye C, Raviglione MC, Standard short-course chemotherapy for drugresistant tuberculosis: treatment outcomes in 6 countries, J. Am. Med. Assoc. (2000), 283:2537-2545.
20. Frieden TR, Sterling T, Pablos-Mendez A, et al., The emergence of drug-resistant tuberculosis in New York City, N. Engl. J. Med. (1993), 328(8):521-556.
21. Gandhi NR, Moll A, Sturm AW, et al., Extensively drug-resistant tuberculosis as a cause of death in patients co-infected with tuberculosis and HIV in a rural area of South Africa, Lancet (2006), 368:1575-1580.
22. Gomes, MGM, Franco, AO, Gomes, M.C and Medley, G.F. The reinfection threshold promotes variability in tuberculosis epidemiology and vaccine efficacy, Proc. R. Soc. Lond. B (2004), 271:617-623.
23. Gumel AB, Song B, Existence of multiple-stable endemic equilibria for a multidrugresistant model of Mycobacterium tuberculosis, Math. Biosci. Engrg. (2008), 5(3):437-455.
24. Hallinan JS, Wiles J, Modelling the spread of antibiotic resistance. I. E. E. (2000), 1152-1159.
25. Kgosimore M, Lungu EM, The effects of vaccination and treatment on the spread of HIV/AIDS, J. Biol. Sys. (2004), 12:399-417.
26. Kribs-Zaleta CM, Velasco-Hernandez J, A simple vaccination model with multiple endemic states, Math. Biosci. (2000), 164:183-201.
27. Levy SB, The antibiotic paradox: How miracle drugs are destroying the miracle, New York: Plenum Press, 1992
28. May RM, Anderson RM, The transmission dynamics of Human Immunodeficiency Virus(HIV), Philos. R. S. Lond. B. Biol. Sci. (1998), 321:565-607.
29. McGowan JE, Antimicrobial resistance in hospital organisms and its relation to antibiotic use, Rev. Inf. Dis. (1983), 5(6):1033-1048.
30. McGregor S, New TB strain could fuel South Africa AIDS toll, http://go.reuters.com/newsArticle.jhtml?type=healthNews&StoryID=13448940.
31. Qing-Song Bao, Yu-Hua Du, Ci-Yong Lu, Treatment outcome of new pulmonary tuberculosis in Guangzhou, China 1993-2002: a register-based cohort study, BMC Public Health 7:344, 2007
32. Mukandavire Z, GariraW, HIV/AIDS model for assessing effects of prophylactic sterilizing vaccines, J. Biol. Sys. (2006), 14(3):323-355.
33. Shah, NS, et al., Worldwide emergence of extensively drug-resistant tuberculosis. Emerg. Inf. Dis. (2007), 13(3):380-387.
34. Sidley P, South Africa acts to curb spread of lethal strain of TB, Brit. Med. J. (2006), 333:825.
35. Thieme HR, Mathematics in population biology, Princeton Univ. Press, Princeton and Oxford, 2003.
36. van den Driessche P, Watmough J, Reproduction numbers and sub-threshold endemic equilibria for the compartmental models of disease transmission, Math. Biosci. 180: 29-48, 2005.
37. World Health Organization, WHO global task force outlines measures to combat XDR-TB worldwide (http://www.who.int/mediacentre/news/notes/2006/np29/en/index.html).