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MATHEMATICAL MODELLING WITH OPTIMAL CONTROL OF INFECTIOUS DISEASES WITH VACCINATION | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 اسفند 1403 اصل مقاله (16.97 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.62350.2743 | ||
| نویسندگان | ||
| Henry M. Wanjala* 1؛ Mark O. Okongo1؛ Jimrise O. Ochwach2 | ||
| 1Chuka University, Chuka, Kenya. | ||
| 2Mama Ngina University College, Gatundu, Kenya. | ||
| چکیده | ||
| Mathematical models are critical in provision of information to the development of infections. Notwithstanding the effectiveness of vaccines, some vaccinated individuals nonetheless get infected. To deal with this, non- pharmaceutical measures inclusive of social distancing and handwashing are encouraged. This study offers a mathematical version that combines the effects of vaccination and social distancing, utilizing Kermack-McKendrick compartments and ordinary Differential Equations (ODEs). The study determines the basic reproduction number (R_0) by the use of the Next Generation Matrix (NGM). If R_0 is less than 1, the ailment will in the end die out; if R_0 is more than 1, the ailment will continue to spread. Python simulations show that while vaccination and social distancing can reduce transmission, they may be not sufficient to eliminate the disease entirely. Isolation is critical for reducing transmission similarly. The efficacy of vaccines and the vaccination rate are crucial additives of vaccination strategy. These techniques provide extra time for public health officers to put in force further measures, supplementing current processes. As we continue to come upon new and evolving health challenges, the mixing of most reliable management strategies into epidemic modelling may be important. Further studies and interdisciplinary collaboration will enhance our capability to combat infectious sicknesses and guard worldwide fitness. | ||
| کلیدواژه‌ها | ||
| Reproduction Number؛ Stability Analysis؛ Social Distancing؛ Pontryagin’s Maximum Principle | ||
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آمار تعداد مشاهده مقاله: 58 تعداد دریافت فایل اصل مقاله: 75 |
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