A Nonlinear Mathematical model for Asthma: Effect of Environmental Pollution

Iranian Journal of Optimization

مقاله 3، دوره 1، شماره 1، فروردین 2009، صفحه 18-38   

نوع مقاله: Research Paper

نویسندگان

NARESHA RAM^{* 1}؛ Agraj Tripathi²

¹Department of Mathematics, Harcourt Butler Technological Institute Kanpur -208002, India

²Department of Mathematics, Bhabha Institute of Technology Aonha, Kanpur-209 204, India

چکیده

In this paper, we explore a nonlinear mathematical model to study the spread of asthma due to inhaled pollutants from industry as well as tobacco smoke from smokers in a variable size population. The model is analyzed using stability theory of differential equations and computer simulation. It is shown that with an increase in the level of air pollutants concentration, the asthmatic (diseased) population increases. It is also shown that along with pollutants present in the environment, smoking (active or passive) also helps in the spread of asthma. Moreover, with the increase in the rate of interaction between susceptibles and smokers, the persistence of the spread of asthma is higher. A numerical study of the model is also performed to see the role of certain key parameters on the spread of asthma and to support the analytical results.

کلیدواژه‌ها

Pollutants؛ SMOKERS؛ Asthma؛ Stability؛ LIAPUNOV FUNCTION؛ Computer Simulation

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