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An epidemic model for drug addiction | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 دی 1400 اصل مقاله (600.14 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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آمار تعداد مشاهده مقاله: 130 تعداد دریافت فایل اصل مقاله: 72 |
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