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Memarbashi, Reza, Ebadi, Zahra. (1401). An epidemic model for drug addiction. سامانه مدیریت نشریات علمی, 10(4), 876-893. doi: 10.22034/cmde.2021.47532.1989
Reza Memarbashi; Zahra Ebadi. "An epidemic model for drug addiction". سامانه مدیریت نشریات علمی, 10, 4, 1401, 876-893. doi: 10.22034/cmde.2021.47532.1989
Memarbashi, Reza, Ebadi, Zahra. (1401). 'An epidemic model for drug addiction', سامانه مدیریت نشریات علمی, 10(4), pp. 876-893. doi: 10.22034/cmde.2021.47532.1989
Memarbashi, Reza, Ebadi, Zahra. An epidemic model for drug addiction. سامانه مدیریت نشریات علمی, 1401; 10(4): 876-893. doi: 10.22034/cmde.2021.47532.1989

An epidemic model for drug addiction

Computational Methods for Differential Equations
مقاله 3، دوره 10، شماره 4، دی 2022، صفحه 876-893    اصل مقاله (685.94 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.47532.1989
نویسندگان
Reza Memarbashi* ؛ Zahra Ebadi
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
چکیده
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. 
کلیدواژه‌ها
Epidemic model؛ Drug addiction؛ Backward bifurcation؛ Global Stability
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