Explore –Journal of Research
Peer Reviewed Journal
ISSN 2278–0297 (Print)
ISSN 2278–6414 (Online)
Vol. XVII, 2024
© Patna Women’s College, Patna, India
Mathematical Modelling of Smoking and its Negative Effect on Human Beings
•Ravi Kumar• Nilakshi Singh•Sonal Singh
•Ragini Kumari
Received : December, 2023
Accepted : January, 2024
Corresponding Author : Ravi Kumar
Abstract : We propose and analyze a mathematical model to study the dynamics of smoking behavior under the influence of educational and media programs. Proposed mathematical model sub divides the total population into potential smokers, smokers and those smokers who quit smoking permanently. The biologically feasible equilibrium points are computed and their stability is analyzed and discussed. The theoretical analysis of the model reveals that the smoking-generation
number is less than unity and unstable if this threshold value is greater than unity. Moreover, number of smokers may be effectively controlled by keeping smokers generation number less than unity. Analytical findings are justified by numerical simulation.
Keywords : Smoking modelling, Balance Law, Stability of Equilibrium Point, Disease Free Equilibrium, Phase Analysis
Ravi Kumar
Head, Department of Mathematics, Patna Women’s College (Autonomous), Bailey Road, Patna-800 001, Bihar, India E-mail:kumar.ravi.iitg@gmail.com
Nilakshi Singh
B.Sc. Ill year, Mathematics (Hons.), Session: 2021-2024, Patna Women’s College (Autonomous),
Patna University, Patna, Bihar, India
Ragini Kumari
B.Sc.Ill year, Mathematics (Hons.), Session:2021-2024, Patna Women’s College (Autonomous),
Patna University, Patna, Bihar, India
Sonal Singh
B.Sc. Ill year, Mathematics (Hons.), Session:2021-2024, Patna Women’s College (Autonomous),
Patna University, Patna, Bihar, India
Introduction:
Smoking is a leading cause of heart diseases, strokes, peripheral vascular diseases, chronic obstructive lung diseases and other respiratory diseases. Moreover, it is also a probable cause of peptic ulcer diseases and increased infant mortality including sudden infant death syndrome (SIDS). Every year, smoking causes some 5 million premature deaths. Smoking in India has been known since 2000 BC and is first mentioned in the Atharva-Veda, which dates back a few hundred years BC. It reveals that smoking has been practiced in India for at least 2000 years (Agrawal M., Verma V. (2015). Tobacco was introduced to India in the 1th century that later on merged with other existing practices of smoking. As a consequence of after compact of smoking, government took many steps to control smoking. Government of India has launched many anti smoking campaigns in the country. Law is enforced to stop individuals smoking in indoor public places, such as bars, pubs, and restaurants. Smoking was prohibited in public places nationwide from 2
