Modeling the rapid spread of avian influenza (H5N1) in India
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Received:
01 February 2008
Accepted:
29 June 2018
Published:
01 June 2008
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MSC :
92D25, 62P10.
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Controlling the spread of avian bird flu has become a challenging
tasks for Indian agriculture and health administrators. After the first evidence
and control of the virus in 2006, the virus attacked five states by January
2008. Based on the evidence of rapid spread of the avian bird flu type H5N1
among the Indian states of Maharashtra, Manipur, andWest Bengal, and in the
partially affected states of Gujarat and Madhya Pradesh, a model is developed
to understand the spread of the virus among birds and the effect of control
measures on the dynamics of its spread. We predict that, in the absence of
control measures, the total number of infected birds in West Bengal within
ten and twenty days after initial discovery of infection were 780,000 and 2.1
million, respectively. When interventions are introduced, these values would
have ranged from 65,000 to 225,000 after ten days and from 16,000 to 190,000
after twenty days. We show that the farm and market birds constitute the
major proportion of total infected birds, followed by domestic birds and wild
birds in West Bengal, where a severe epidemic hit recently. Culling 600,000
birds in ten days might have reduced the current epidemic before it spread
extensively. Further studies on appropriate transmission parameters, contact
rates of birds, population sizes of poultry and farms are helpful for planning.
Citation: Arni S.R. Srinivasa Rao. Modeling the rapid spread of avian influenza (H5N1) in India[J]. Mathematical Biosciences and Engineering, 2008, 5(3): 523-537. doi: 10.3934/mbe.2008.5.523
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Abstract
Controlling the spread of avian bird flu has become a challenging
tasks for Indian agriculture and health administrators. After the first evidence
and control of the virus in 2006, the virus attacked five states by January
2008. Based on the evidence of rapid spread of the avian bird flu type H5N1
among the Indian states of Maharashtra, Manipur, andWest Bengal, and in the
partially affected states of Gujarat and Madhya Pradesh, a model is developed
to understand the spread of the virus among birds and the effect of control
measures on the dynamics of its spread. We predict that, in the absence of
control measures, the total number of infected birds in West Bengal within
ten and twenty days after initial discovery of infection were 780,000 and 2.1
million, respectively. When interventions are introduced, these values would
have ranged from 65,000 to 225,000 after ten days and from 16,000 to 190,000
after twenty days. We show that the farm and market birds constitute the
major proportion of total infected birds, followed by domestic birds and wild
birds in West Bengal, where a severe epidemic hit recently. Culling 600,000
birds in ten days might have reduced the current epidemic before it spread
extensively. Further studies on appropriate transmission parameters, contact
rates of birds, population sizes of poultry and farms are helpful for planning.
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