University of Tabriz Computational Methods for Differential Equations 2345-3982 10 4 2022 10 01 An epidemic model for drug addiction 876 893 14146 10.22034/cmde.2021.47532.1989 EN Reza Memarbashi Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. Zahra Ebadi Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. Journal Article 2021 08 19 The two most common ways to prevent spreading drug addiction are counseling and imprisonment. In this paper, we propose and study a model for the spread of drug addiction incorporating the effect of consultation and incarceration of addicted individuals. We extract the basic reproductive ratio and study the occurrence of backward bifurcation. Also, we study the local and global stability of drug-free and endemic equilibria under suitable conditions. Finally, we use numerical simulations to illustrate the obtained analytical results.  https://cmde.tabrizu.ac.ir/article_14146_68d68f1e6ce17f41ee49a30635080471.pdf