Title: A study on some standard mathematical modelling on automobiles and environmental pollution in the city of Kolkata

Authors: B.K. Mukhopadhyay, A.K. Roy

Addresses: Population studies unit, Indian statistical Institute, Kolkata – 700108, India. ' Directorate of Agriculture, West Bengal, India

Abstract: This study examines the global environmental pollution caused by so many anthropogenic activities. In particular, emphasis is laid on the recent experience of the increasing numbers of automobiles on insufficient and damaged roads, particularly in Indian cities, causing severe pollution effects. As far as the numbers are concerned, a standard mathematical model was developed, similar to Malthus| model on human population in an exponential form, and later changed to the logistic level of Verhults. Because Kolkata experiences a heavy load of traffic with insufficient infrastructure, this study has focused on this city, taking it as a reference city for the mathematical model. A detailed discussion is also given of automobiles and environmental pollution with reference to this city, and some comparative published data, along with some calculated measures, are presented for the four mega-cities of India.

Keywords: air pollution; automobiles; India; Kolkata; mathematical modelling; environmental pollution; urban pollution.

DOI: 10.1504/IJEP.2006.010884

International Journal of Environment and Pollution, 2006 Vol.28 No.1/2, pp.198 - 215

Published online: 11 Sep 2006 *

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