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doi:10.3808/jeil.202400135
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Modeling and Stability Analysis of the Effect of Awareness Programs on the Control of Atmospheric Pollutants Emitted from Various Pollutant Emitting Sources to Reduce Global Warming

S. Sundar1 *, N. Swaroop2, and R. Naresh3

  1. Department of Mathematics, Pranveer Singh Institute of Technology, Kanpur 209305, India
  2. Department of Mathematics, Christ Church College, Kanpur 208001, India
  3. Department of Mathematics, School of Basic & Applied Sciences, Harcourt Butler Technical University, Kanpur 208002, India

*Corresponding author. Tel.: +91-512-2696248. E-mail address: ssmishra15@gmail.com (S. Sundar).

Abstract


This study explores the dynamics of atmospheric pollutants released from various sources, including vehicular traffic, small and large-scale production, building industries, and various other human activities, to lessen the threat posed by global warming. These pollutants are also responsible for causing severe respiratory ailments and numerous fatalities among human populations. The presence of various pollutants emitting sources has led to a rise in the cumulative concentration of pollutants in the atmosphere that pose a threat both to the environment and human health. Therefore, it is very important to study the mitigation of such pollutants by making people aware of their harmful effects. Media awareness campaigns can have a significant impact on the mitigation of pollutants in the atmosphere causing global warming. Given this, in the present study, the role of media awareness campaigns in the abatement of pollutants is explored by developing and analyzing a nonlinear mathematical model. The stability theory of ordinary differential equations is used to analyze the mathematical model. To investigate the feasibility of the model system, local and global stability conditions are established. The model analysis demonstrates that media awareness programs have a significant impact on reducing air pollutants, which in turn reduces global warming.

Keywords: modeling, atmospheric pollutants, awareness programs, global warming, stability, numerical simulation


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