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.
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Memarbashi, R., & Ebadi, Z. (2022). An epidemic model for drug addiction. Computational Methods for Differential Equations, 10(4), 876-893. doi: 10.22034/cmde.2021.47532.1989
MLA
Reza Memarbashi; Zahra Ebadi. "An epidemic model for drug addiction". Computational Methods for Differential Equations, 10, 4, 2022, 876-893. doi: 10.22034/cmde.2021.47532.1989
HARVARD
Memarbashi, R., Ebadi, Z. (2022). 'An epidemic model for drug addiction', Computational Methods for Differential Equations, 10(4), pp. 876-893. doi: 10.22034/cmde.2021.47532.1989
VANCOUVER
Memarbashi, R., Ebadi, Z. An epidemic model for drug addiction. Computational Methods for Differential Equations, 2022; 10(4): 876-893. doi: 10.22034/cmde.2021.47532.1989
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