A NONLINEAR MATHEMATICAL MODEL FOR ASTHMA: EFFECT OF ENVIRONMENTAL POLLUTION

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NARESHA RAM; TRIPATHI AGRAJ

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF OPTIMIZATION Year:2009 | Volume:1 | Issue:1 Page(s): 13-23

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Title

A NONLINEAR MATHEMATICAL MODEL FOR ASTHMA: EFFECT OF ENVIRONMENTAL POLLUTION

Author(s)

NARESHA RAM | TRIPATHI AGRAJ | Issue Writer Certificate

Keywords

POLLUTANTS

SMOKERS

ASTHMA

STABILITY

LIAPUNOV FUNCTION

COMPUTER SIMULATION

Abstract

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.

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APA: Copy

NARESHA, RAM, & TRIPATHI, AGRAJ. (2009). A NONLINEAR MATHEMATICAL MODEL FOR ASTHMA: EFFECT OF ENVIRONMENTAL POLLUTION. IRANIAN JOURNAL OF OPTIMIZATION, 1(1), 13-23. SID. https://sid.ir/paper/327306/en

Vancouver: Copy

NARESHA RAM, TRIPATHI AGRAJ. A NONLINEAR MATHEMATICAL MODEL FOR ASTHMA: EFFECT OF ENVIRONMENTAL POLLUTION. IRANIAN JOURNAL OF OPTIMIZATION[Internet]. 2009;1(1):13-23. Available from: https://sid.ir/paper/327306/en

IEEE: Copy

RAM NARESHA, and AGRAJ TRIPATHI, “A NONLINEAR MATHEMATICAL MODEL FOR ASTHMA: EFFECT OF ENVIRONMENTAL POLLUTION,” IRANIAN JOURNAL OF OPTIMIZATION, vol. 1, no. 1, pp. 13–23, 2009, [Online]. Available: https://sid.ir/paper/327306/en

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