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Full and partial controllability of the Kermack-Mckendrick system with time- varying incidence rates | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 26 آذر 1404 اصل مقاله (2.17 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.31390.2818 | ||
| نویسندگان | ||
| Hamza El Mahjour* 1؛ Aadil Lahrouz2؛ Omar Zakary3؛ Mariam Redouane2 | ||
| 1MASI research Team Department of Information Systems and Communication ENSAT, Abdelmalek Esaadi University, Morocco | ||
| 2LAM research laboratory Department of Mathematics FSTT, Abdelmalek Essaadi University | ||
| 3Statistics and Modelling research team Department of Mathematics FSBM, University of Hassan II | ||
| چکیده | ||
| This study contributes to epidemic control literature by introducing a time-varying inci- dence rate and establishing global controllability of the nonlinear SIR system, offering a practical framework for adaptive control strategies. We derive explicit solutions for partial controllability, demonstrating the feasibility of controlling the infected population, pro- viding guidance for outbreak management. Numerical methods exploiting an algorithmic approach achieve full control, targeting a desired state (Sd, Id). A novel hybrid method integrates analytical solutions with algorithmic optimization, leveraging explicit expres- sions for I(t) and S(t) to enhance precision and efficiency of epidemic control strategies, advancing adaptive management approaches | ||
| کلیدواژهها | ||
| Epidemic model؛ Varying infection rate؛ Full Control؛ Partial Control؛ Hybrid Method | ||
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آمار تعداد مشاهده مقاله: 1 |
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