Spoil for both health and the costs of treatment. The purpose of this research is to develop a mathematical model the knowledge about the punishment of the smoking towards mathematical models to quit smoking.The development of model stability analysis of mathematical models for smoking cessation of, AlkhudhariAl-Sheikh and Al-Tuwairqi added the knowledge about punishment of the rooms in the original. Analysis of the model using the method of standard, study the equilibrium point, stability of the equilibrium point, find out เชิงวิ analysis.Research of mathematical models for the knowledge on how to quit smoking. Written in the form system of differential equations, nonlinear equations of 4 by dividing the population into 4 groups.Population who smoke. The population groups quit smoking temporarily. And population groups quit smoking permanent. The mathematical model is found a balance point, no smoking, the level of infections () of 0.2353 balance point with smoking and the level of infection when the rate of 2.2857 campaign educating (P) was 0.2 times per day. The equilibrium point, no smoking. And the equilibrium point that smoking is Local Asymptotically Stable.
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