A Smoking cessation model with Holling type-II Anti-smoking Media campaign

Vol-3 | Issue-04 | April 2018 | Published Online: 02 April 2018    PDF ( 588 KB )
Author(s)
Bhagwan Kumar 1; Abhay Srivastava 2

1School of Mathematics and Statistics, University of Hyderabad, Hyderabad-500046, India

2Department of Mathematics and Statistics, Dr. HarisinghGour Vishwavidyalaya, Sagar, Madhya Pradesh 470003, India

Abstract

A new smoking cessation epidemic model has proposed with the effect of media coverage. In this paper, we depict the smoking cessation model with the effect of media awareness program (Anti-Smoking campaign) among smokers as well as non-smokers. When non-smokers will aware about the bad impact of smoking on society and its related disease, they will try to avoid smoking and also try to stay away with smokers and will make less interactions with smokers. By considering these facts, we proposed and analyzed a smoking cessation model with the effect of media in the form of Holling type-II functional response. In the feasible region, the equilibria are computed and their stability behavior have analyzed. Further, some numerical and computer simulations are performed with the help of MATLAB to validate our analytical findings. In last section, discussion and conclusion of our findings are discussed.

Keywords
Smoking, Media awareness, Stability analysis, Numerical simulations.
Statistics
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