随机吸烟模型的持久性与灭绝性

张雪康; 张振中

doi:10.3969/j.issn.1000-5641.2017.04.007

随机吸烟模型的持久性与灭绝性

doi: 10.3969/j.issn.1000-5641.2017.04.007

东华大学数学系, 上海 201620

基金项目:

国家自然科学基金 11301068

国家自然科学基金 11401093

国家自然科学基金 11471071

详细信息

作者简介:
张雪康, 男, 硕士研究生, 研究方向为随机分析及其应用.E-mail:xxkzhang@126.com

中图分类号: O211.63
计量
- 文章访问数: 196
- HTML全文浏览量: 56
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- 被引次数: 0
出版历程
- 收稿日期: 2016-05-18
- 刊出日期: 2017-07-25

Permanence and extinction of stochastic smoking model

Department of Mathematics, Donghua University, Shanghai 201620, China

摘要

摘要: 考虑随机因素的影响，提出了一个由布朗运动驱动的随机吸烟模型.首先，利用Lyapunov方法证明了随机吸烟模型具有全局正解性.其次，给出了该随机吸烟模型灭绝性和持久性的充分必要条件.最后运用伪极大似然方法估计出随机吸烟模型中的参数.
- 布朗运动 /
- 持久性 /
- 灭绝性
Abstract: To characterize the effects of stochastic noises on smokers, a stochastic smoking model driven by Brownian motion has been proposed. First, a unique global positive solution is proved according to Lyapunov function method. Then, some sufficient and necessary conditions for permanence and extinction are presented. Finally, the parameters of stochastic smoking model are estimated by the pseudo-maximum likelihood estimation.
- Brownian motion /
- extinction /
- permanence

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参考文献(18)

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