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Zbl 1221.92067
Zaman, Gul
Qualitative behavior of giving up smoking models. (English)
[J] Bull. Malays. Math. Sci. Soc. (2) 34, No. 2, 403-415 (2011). ISSN 0126-6705

Summary: Smoking is a large problem in the entire world. Despite overwhelming facts about the risks, smoking is still a bad habit widely spread and socially accepted. Many people start smoking during their gymnasium period. The main purpose of this paper is to determine the asymptotic behavior of a mathematical model using for giving up smoking. Our interest here is to derive and analyse the model taking into account the occasional smokers compartment in the giving up smoking model. Analysis of this model reveals that there are four equilibria, one of them is the smoking-free and the other three correspond to presence of smoking. We also present the global stability and parameter estimates that characterize the natural history of this disease with numerical simulations.

MSC 2000:: *92D25 Population dynamics
92D99 Genetics and population dynamics
49N90 Applications of optimal control and differential games
65C20 Models (numerical methods)
62P10 Appl. of statistics to biology
93C95 Appl. of control theory

Keywords: population dynamics; stability analysis; numerical simulation

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