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Global dynamics of a mathematical model on smoking: impact of anti-smoking campaign | ||
| Journal of Mathematical Modeling | ||
| مقاله 13، دوره 7، شماره 1، خرداد 2019، صفحه 49-62 اصل مقاله (436.52 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2018.10117.1153 | ||
| نویسندگان | ||
| Vinay Verma* ؛ Archana Bhadauria | ||
| Department of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University, Barabanki-225003, India | ||
| چکیده | ||
| 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 subdivides 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-free equilibrium is stable when a threshold, termed as the smokers-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 the smokers generation number less than unity. Analytical findings are justified by numerical simulation. | ||
| کلیدواژه‌ها | ||
| Smoking؛ Education؛ media؛ global Stability؛ Lyapunov function | ||
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آمار تعداد مشاهده مقاله: 1,225 تعداد دریافت فایل اصل مقاله: 1,663 |
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