Abstract This paper is related to the stochastic smoking model for the purpose of creating the effects of smoking that are not observed in deterministic form. First, formulation of the stochastic model is presented. Then the sufficient conditions for extinction and persistence are determined. Furthermore, the threshold of the proposed stochastic model is discussed, when noises are small or large. Finally, the numerical simulations are shown graphically with the software MATLAB.

中文翻译：

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随机吸烟模型的可检测感觉

摘要 本文与随机吸烟模型有关，目的是创建未以确定性形式观察到的吸烟影响。首先，提出了随机模型的公式。然后确定灭绝和持续存在的充分条件。此外，当噪声很小或很大时，讨论了所提出的随机模型的阈值。最后，用MATLAB软件以图形方式显示数值模拟。