Journal of East China Normal University(Natural Sc ›› 2017, Vol. ›› Issue (4): 71-88.doi: 10.3969/j.issn.1000-5641.2017.04.007

• Mathematics • Previous Articles     Next Articles

Permanence and extinction of stochastic smoking model

ZHANG Xue-kang, ZHANG Zhen-zhong   

  1. Department of Mathematics, Donghua University, Shanghai 201620, China
  • Received:2016-05-18 Online:2017-07-25 Published:2017-07-20

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.

Key words: Brownian motion, extinction, permanence

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