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EFFECTIVE CONTROL OF QUARANTINE OF INFECTED INDIVIDUALS IN REDUCING THE SPREAD OF CONTAGIOUS DISEASES. | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 خرداد 1405 اصل مقاله (1.88 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.68757.3353 | ||
| نویسندگان | ||
| Raziyeh Choobineh؛ Haji Mohammad Moammadi Nezhad* ؛ Omid Rabiei Motlagh | ||
| Department of Mathematics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran. | ||
| چکیده | ||
| Our primary objective is to develop a regulated mathematical model for studying the dynamics of communicable disease transmission. By implementing a control that minimizes a cost function, considering the impacts of the illness as well as the costs associated with control, health, and quarantine measures, we aim to reduce the number of infections. To evaluate the effectiveness of the control, we will compare the outcomes of both uncontrolled and controlled scenarios. We will also analyze key characteristics of the model concerning threshold values, investigating aspects such as the boundaries and positivity of the solutions within a biological context. Additionally, we will assess the local and global behavior of the system about its equilibrium points. | ||
| کلیدواژه‌ها | ||
| contagious diseases؛ Pontryagin’s maximization principle؛ COVID-19 | ||
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آمار تعداد مشاهده مقاله: 93 تعداد دریافت فایل اصل مقاله: 97 |
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