一类随机SDQR酗酒模型的持久性分析  

Persistence analysis of a stochastic SDQR binge drinking model

作　　者：刘娟[1] 潘玉荣[1] LIU Juan;PAN Yurong(School of Mathematics and Physics,Bengbu University,Bengbu 233030,China)

机构地区：[1]蚌埠学院数理学院,安徽蚌埠233030

出　　处：《渤海大学学报（自然科学版）》2022年第3期240-245,共6页Journal of Bohai University:Natural Science Edition

基　　金：安徽省高校自然科学研究重点项目(No:KJ2021A1128)。

摘　　要：在确定型SDQR酗酒模型的基础上,考虑随机因素得到具有双线性发生率的随机酗酒模型.由持久性的含义,利用Ito公式得到D(t)上、下极限的范围,并在此基础上得出了Q(t)、R(t)的上、下极限.结果表明,当白噪声强度较小时,重度酗酒者、正在戒酒者、成功戒酒者等几类群体将持续存在.Based on the deterministic SDQR binge drinking model,a stochastic SDQR binge drinking mode with bilinear incidence is obtained considering random factors.From the meaning of persistence,the upper and lower limits of D(t) are obtained by using Ito formula,and the upper and lower limits of Q(t) and R(t) are obtained on this basis.The results show that when the intensity of white noise is small,population such as heavy drinkers,those who are abstaining from alcohol,and those who have successfully quit drinking will persist.

关 键 词：酗酒模型 双线性发生率 白噪声 ITO公式 

分 类 号：O175.12[理学—数学]