随机吸烟模型的持久性与灭绝性

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.%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.