University of Guilan Journal of Mathematical Modeling 2345-394X 7 1 2019 03 01 Global dynamics of a mathematical model on smoking: impact of anti-smoking campaign 49 62 3187 10.22124/jmm.2018.10117.1153 EN Vinay Verma Department of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University, Barabanki-225003, India Archana Bhadauria Department of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University, Barabanki-225003, India Journal Article 2018 04 18 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. https://jmm.guilan.ac.ir/article_3187_377e2a6014896f5eb6b57a6be96d189f.pdf