HIV/AIDS epidemic in India and predicting the impact of the national response: Mathematical modeling and analysis
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1.
Mathematical Institute, Centre for Mathematical Biology, University of Oxford, 24-29 St Giles', Oxford, OX1 3LB
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2.
Department of Medicine, Christian Medical College, Vellore
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3.
Member, National AIDS Control Programmme Planning Team, Currently with Global AIDS Program, US Centers for Disease Control and Prevention, American Embassy New Delhi
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4.
Centre for Mathematical Biology, Mathematical Institute, University of Oxford, OX1 3LB Oxford
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Received:
01 June 2007
Accepted:
29 June 2018
Published:
01 September 2009
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MSC :
92D30, 62P10.
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After two phases of AIDS control activities in India, the third
phase of the National AIDS Control Programme (NACP III) was launched
in July 2007. Our focus here is to predict the number of people
living with HIV/AIDS (PLHA) in India so that the results can assist
the NACP III planning team to determine appropriate targets to be
activated during the project period (2007-2012). We have constructed
a dynamical model that captures the mixing patterns between
susceptibles and infectives in both low-risk and high-risk groups in
the population. Our aim is to project the HIV estimates by taking
into account general interventions for susceptibles and additional
interventions, such as targeted interventions among high risk
groups, provision of anti-retroviral therapy, and behavior change
among HIV-positive individuals. Continuing the current level of
interventions in NACP II, the model estimates there will be 5.06
million PLHA by the end of 2011. If 50 percent of the targets in
NACP III are achieved by the end of the above period then about 0.8
million new infections will be averted in that year. The current
status of the epidemic appears to be less severe compared to the
trend observed in the late 1990s. The projections based on the
second phase and the third phase of the NACP indicate prevention
programmes which are directed towards the general and high-risk
populations, and HIV-positive individuals will determine the decline
or stabilization of the epidemic. Model based results are derived
separately for the revised HIV estimates released in 2007. According
to revised projections there will be 2.08 million PLHA by 2012 if 50
percent of the targets in NACP III are reached.
We perform a
Monte Carlo procedure for sensitivity analysis of parameters and
model validation. We also predict a positive role of implementation
of anti-retroviral therapy treatment of 90 percent of the eligible
people in the country. We present methods for obtaining disease
progression parameters using convolution approaches. We also extend
our models to age-structured populations.
Citation: Arni S. R. Srinivasa Rao, Kurien Thomas, Kurapati Sudhakar, Philip K. Maini. HIV/AIDS epidemic in India and predicting the impact of the national response: Mathematical modeling and analysis[J]. Mathematical Biosciences and Engineering, 2009, 6(4): 779-813. doi: 10.3934/mbe.2009.6.779
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Abstract
After two phases of AIDS control activities in India, the third
phase of the National AIDS Control Programme (NACP III) was launched
in July 2007. Our focus here is to predict the number of people
living with HIV/AIDS (PLHA) in India so that the results can assist
the NACP III planning team to determine appropriate targets to be
activated during the project period (2007-2012). We have constructed
a dynamical model that captures the mixing patterns between
susceptibles and infectives in both low-risk and high-risk groups in
the population. Our aim is to project the HIV estimates by taking
into account general interventions for susceptibles and additional
interventions, such as targeted interventions among high risk
groups, provision of anti-retroviral therapy, and behavior change
among HIV-positive individuals. Continuing the current level of
interventions in NACP II, the model estimates there will be 5.06
million PLHA by the end of 2011. If 50 percent of the targets in
NACP III are achieved by the end of the above period then about 0.8
million new infections will be averted in that year. The current
status of the epidemic appears to be less severe compared to the
trend observed in the late 1990s. The projections based on the
second phase and the third phase of the NACP indicate prevention
programmes which are directed towards the general and high-risk
populations, and HIV-positive individuals will determine the decline
or stabilization of the epidemic. Model based results are derived
separately for the revised HIV estimates released in 2007. According
to revised projections there will be 2.08 million PLHA by 2012 if 50
percent of the targets in NACP III are reached.
We perform a
Monte Carlo procedure for sensitivity analysis of parameters and
model validation. We also predict a positive role of implementation
of anti-retroviral therapy treatment of 90 percent of the eligible
people in the country. We present methods for obtaining disease
progression parameters using convolution approaches. We also extend
our models to age-structured populations.
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