An epidemic model for drug addiction
نویسندگان
1 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
2 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
doi
10.22034/cmde.2021.47532.1989چکیده
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.
