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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Modeling and Analysis of the Impact of Media Based Awareness Efforts on Asthma Development in a Polluted Environment

Discontinuity, Nonlinearity, and Complexity 15(1) (2026) 1--13 | DOI:10.5890/DNC.2026.03.001

Vinay Verma$^{1}$\corrauth{vinayverma.maths@srmu.ac.in, sandhyav2@srmist.edu.in, rachanapathak2@gmail.com, aryansmaths.lko@gmail.com}, Sandhya Rani Verma$^{2}$, Rachana Pathak$^{3}$, Vimlesh$^{1}$

$^{1}$ Faculty of Mathematical and Statistical Sciences, Institute of Natural Sciences and Humanities, Shri Ramswaroop Memorial University, Lucknow-Deva Road, Barabanki-225003, Uttar Pradesh, India

$^{2}$ Department of Mathematics, SRM Institute of Science and Technology, Delhi-NCR Campus Ghaziabad -201204, Uttar Pradesh, India

$^{3}$ Department of Applied Science and Humanities, Faculty of Engineering and Technology, University of Lucknow, Lucknow-226031, Uttar Pradesh, India

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Abstract

There have sometimes been reports of an influence of behavioral reactions and awareness campaigns on epidemic breakouts. From a public health perspective, knowledge and behavioral changes are crucial, but it is unclear how much they affect the course of the pandemic. Using a mathematical model, we explore the impact of media awareness efforts on the onset of asthma in a population that is genetically susceptible to pollution. Assessments are made of the system's durability and the prerequisites for the existence of the unique positive stable state. Lyapunov's function analysis identifies the unique positive steady state as being both locally and globally asymptotically stable. Campaigns to raise awareness can help prevent the expansion of the asthma pandemic, but immigration maintains the condition endemic, according to the model research. The model is also numerically analyzed to confirm the analytical results and ascertain how many important parameters affect the asthma outbreak.

Acknowledgments

\bibitem{1} National Heart, Lung and Blood Institute (2018), Asthma, https://www.nhlbi.nih.gov/health-topics/asthma.

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