Abstract

All over the world, tuberculosis is a public health problem in prisons due to the fact that many inmates come from communities at high risk of tuberculosis, to their living conditions in prisons and to the insufficiencies of prisons health services. In this paper, Wells–Riley's equation for modeling airborne infection within indoor environment is incorporated on a simple tuberculosis model, to investigate the effect of prison environment on the transmission dynamics of tuberculosis. At best the study suggests that a prison cell of volume 195 m3with 40 adult inmates comprising of 90% susceptibles and 10% infectives, requires a ventilation rate of 8 AC/h to maintain the reproductive number less than unity. However, if the population doubles then the ventilation required to maintain the reproductive number less than unity becomes 26 AC/h which is three times more than the actual ventilation rate required for a 100% full.

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