| 具有阶段结构与随机扰动的酗酒模型 |
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| 引用本文： | 宋娜娜,葛杨.具有阶段结构与随机扰动的酗酒模型[J].纺织高校基础科学学报,2017,30(2). |
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| 作者姓名： | 宋娜娜 葛杨 |
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| 作者单位： | 1. 重庆邮电大学 移通学院,重庆,401520;2. 重庆工商大学 派斯学院,重庆,401520 |
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| 摘 要： | 研究一类具有阶段结构与随机扰动的酗酒模型,分析饮酒平衡点附近的随机扰动.通过建立Lyapunov函数及应用伊藤公式,证明饮酒平衡点附近的随机全局渐近稳定性.当确定性模型基本再生数R_01,随机模型的解是平均持续的,说明饮酒行为持续存在.另外,饮酒的传播率,自然死亡率及复发率对饮酒平衡点附近的随机全局渐近稳定性起着决定性作用.
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| 关 键 词： | 阶段结构 随机酗酒模型 随机稳定性 |
A binge drinking model with two stages structure and random perturbation |
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| SONG Nana,GE Yang.A binge drinking model with two stages structure and random perturbation[J].Basic Sciences Journal of Textile Universities,2017,30(2). |
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| Authors: | SONG Nana GE Yang |
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| Abstract: | A binge drinking model with two stages and random perturbation is introduced.The random fluctuation around the alcohol-present equilibrium of deterministic binge drinking model is studied.The stochastic asymptotical stability of the alcohol-present equilibrium is proved by constructing Lyapunov function and applying Ito′s formula.If the deterministic basic production number R0>1, there is a stationary distribution, which means that the binge drinking will prevail.In addition, it is noted that transmission coefficient, the natural death rate and the relapse rate play a crucial role for the stochastic asymptotical stability of the model. |
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| Keywords: | stages structures stochastic binge drinking model stochastic stability |
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