Tuberculosis (TB) is one of the most common infectious diseases and a leading cause of death in the world. Despite the full implementation of Revised National Tuberculosis Control Programme, the disease continues to be a leading cause of morality and economic burden in India. The basic reproduction is a fundamental key parameter that quantifies the spread of a disease. In this article, we present a Bayesian melding approach to estimate the basic reproduction number using a deterministic model of TB. We present a point estimate of the basic reproduction number of 35 states and union territories of India during 2006 to 2011. The basic reproduction number of TB for India is computed to be 0.92, which indicates the slow elimination of TB in India during 2006 to 2011.
World Health Organization. Global Tuberculosis Report. Geneva, Switzerland: World Health Organization; 2012:3.
2.
Central TB Division. RNTCP Annual Status Report (2006-2013) TB India. New Delhi, India: Directorate General of Health Services, Ministry of Health and Family Welfare.
3.
ChakrabortyAK.Epidemiology of tuberculosis: current status in India. Indian J Med Res. 2004;120:248-276.
4.
AndersonRMMayRM.Population biology of infectious diseases: part I. Nature. 1979;280:361-367.
5.
JesanTMenonGISinhaS.Epidemiological dynamics of the 2009 Influenza A(H1N1)v outbreak in India. Curr Sci. 2011;100:1051-1054.
6.
MartchevaMHoppensteadtF.India’s approach to eliminating Plasmodium falciparum malaria: a modeling perspective. J Biol Syst. 2010;18:867-891.
7.
TanakaMMFrancisARLucianiFSissonSA.Using approximate Bayesian computation to estimate tuberculosis transmission parameters from genotype data. Genetics. 2006;173:1511-1520.
8.
BlowerSMMcleanARPorcoTC. The intrinsic transmission dynamics of tuberculosis epidemics. Nat Med. 1995;1:815-821.
9.
VynnyckyEFinePEM.The long-term dynamics of tuberculosis and other diseases with long serial intervals: implications of and for changing reproduction numbers. Epidemiol Infect. 1998;121:309-324.
10.
LiXZBhattacharyaSYangJYMartchevaM.A tuberculosis (TB) model with undetected compartment: an application to China. J Biol Syst. 2011;19:205-236.
11.
LiuLZhaoXQZhouY.A tuberculosis model with seasonality. Bull Math Biol. 2010;72:931-952.
12.
BowongSKurthsJ.Modeling and analysis of the transmission dynamics of tuberculosis without and with seasonality. Nonlinear Dynam. 2012;67:2027-2051.
13.
BowongSKurthsJ.Parameter estimation based synchronization for an epidemic model with application to tuberculosis in Cameroon. Phys Lett A. 2010;374:4496-4505.
14.
OkuonghaeDKorobeinikovA.Dynamics of tuberculosis: the effect of direct observation therapy strategy (DOTS) in Nigeria. Math Model Nat Phenomenon. 2007;2:113-128.
15.
MollerJF.A community-wide tuberculosis study in South Indian rural populations, 1950-1955. Bull World Health Organ. 1960;22:61-170.
16.
WilliamsBGGranichRChauhanLSDharmshaktuNSDyeC.The impact of HIV/AIDS on the control of tuberculosis in India. Proc Natl Acad Sci U S A. 2005;102:9619-9624.
17.
PiratlaVBansalAAzadSLioP.Parameter estimation of tuberculosis transmission model using ensemble Kalman filter, Unpublished.
18.
MishraBKSrivastavaJ.Mathematical model on pulmonary and multidrug-resistant tuberculosis with vaccination. J Egyptian Math Soc. 2013;22:311-316.
19.
PooleDRafteryAE.Inference for deterministic simulation models: the Bayesian melding approach. J Am Statist Assoc. 2000;95:1244-1255.
20.
CoelhoFCCodecoCTGomesMGM.A Bayesian framework for parameter estimation in dynamical models. PLoS One. 2011;6:e19616.
21.
AlkemaLRafteryAEClarkSJ.Probabilistic projections of HIV prevalence using Bayesian melding. Ann Appl Stat. 2007;1:229-248.
22.
HottaLK.Bayesian melding estimation of a stochastic SEIR model. Math Popul Stud. 2010;17:101-111.
23.
AlkemaLRafteryAEBrownT.Bayesian melding for estimating uncertainty in national HIV prevalence estimates. Sex Transm Infect. 2008;84:i11-i16.
24.
FengZChavezCCCapurroAF.A model for tuberculosis with exogenous reinfection. Theor Popul Biol. 2000;57:235-247.
25.
MurphyBMSingerBHAndersonSKirschnerD.Comparing epidemic tuberculosis in demographically distinct heterogeneous populations. Math Biosci. 2002;180:161-185.
26.
DyeC.The potential impact of new diagnostic tests on tuberculosis epidemics. Indian J Med Res. 2012;135:737-744.
27.
SharmaNMalhotraRTanejaDKSahaRIngleGK.Awareness and perception about tuberculosis in the general population of Delhi. Asia Pac J Public Health. 2007;19:10-15.
28.
SharmaNNathATanejaDKIngleGK.A qualitative evaluation of the information, education and communication component of the Tuberculosis Control Program in Delhi, India. Asia Pac J Public Health. 2009;21:321-332.
29.
DhuriaMSharmaNSinghNPJilohaRCSahaRIngleGK.A study of the impact of tuberculosis on the quality of life and the effect after treatment with DOTS. Asia Pac J Public Health. 2009;21:312-320.
