纺织高校基础科学学报2017，Vol.30Issue(2)：171-176,6.DOI:10.13338/j.issn.1006-8341.2017.02.003
具有阶段结构与随机扰动的酗酒模型
A binge drinking model with two stages structure and random perturbation
宋娜娜 1葛杨2
作者信息
- 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
- 折叠
摘要
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.关键词
阶段结构/随机酗酒模型/随机稳定性Key words
stages structures/stochastic binge drinking model/stochastic stability分类
数理科学引用本文复制引用
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):171-176,6.
