Abstract
In this paper, we consider a delayed smoking model in which the potential smokers are assumed to satisfy the logistic equation. We discuss the dynamical behavior of our proposed model in the form of Delayed Differential Equations (DDEs) and show conditions for asymptotic stability of the model in steady state. We also discuss the Hopf bifurcation analysis of considered model. Finally, we use the nonstandard finite difference (NSFD) scheme to show the results graphically with help of MATLAB.
Highlights
Cigarette smoking is common in the World as a moral habit, it having a strong junction with different types of dangerous diseases
No one of the smokers realised that smoking affects all the organs of your body specially inside means stomach, heart, lungs etc
Smoking increases the risk of osteoporosis, a condition in which bones become weak and more likely to break
Summary
Cigarette smoking is common in the World as a moral habit, it having a strong junction with different types of dangerous diseases. On similar way the mathematicians are in effort to announce the people about awareness and control of smoking through mathematical models. For this goal, the first smoking model was presented by Castello et al see Ref. 1, in which the compartments are potential smokers (the people which not become yet smokers and having the chance for starting the smoking), chain smokers (the people which are smoking daily five to ten cigarettes) and quit smokers (the people they were smokers in past and yet not smoking).
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