Global dynamics of a mathematical model on smoking: impact of anti-smoking campaign
محل انتشار: مجله مدلسازی ریاضی، دوره: 7، شماره: 1
سال انتشار: 1398
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 39
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شناسه ملی سند علمی:
JR_JMMO-7-1_004
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
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.
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نویسندگان
Vinay Verma
Department of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University, Barabanki-۲۲۵۰۰۳, India
Archana Bhadauria
Department of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University, Barabanki-۲۲۵۰۰۳, India