期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2020
卷号：2020
页码：1-12
DOI：10.1155/2020/4903168
出版社：Hindawi Publishing Corporation
摘要：In this paper, we present a continuous mathematical model P M H T r T p Q of alcohol drinking with the influence of private and public addiction treatment centers. We study the dynamical behavior of this model and we discuss the basic properties of the system and determine its basic reproduction number R 0 . We also study the sensitivity analysis of model parameters to know the parameters that have a high impact on the reproduction number R 0 . The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at drinking-free equilibrium E 0 when R 0 ≤ 1 . When R 0 > 1 , drinking present equilibrium E ∗ exists and the system is locally as well as globally asymptotically stable at alcohol present equilibrium E ∗ .
