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Fractional order optimal control of a tuberculosis model with exogenous reinfection | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 28 اردیبهشت 1405 اصل مقاله (277.06 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32379.2933 | ||
| نویسندگان | ||
| Maryyam Irfan1؛ Mustafa Habib1؛ Shazia Karim2؛ Muhammad Shabbir* 3 | ||
| 1Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan | ||
| 2Department of Basic Sciences, UET Lahore, FSD Campus, Faisalabad, Pakistan | ||
| 3Department of Mathematics, University of Engineering and Technology Lahore | ||
| چکیده | ||
| This paper presents a general formulation of a fractional-order tuberculosis model with exogenous reinfection, based on the susceptible–exposed–infected–treated (SEIT) epidemiological framework. A control representing the prevention of exogenous reinfection is employed to effectively minimize the number of infectious individuals, including both actively contagious and latently infected populations. The Caputo fractional derivative is used to model the system, and the resulting fractional-order optimal control problem is theoretically analyzed using Pontryagin’s maximum principle. A forward-backward sweep algorithm, using a generalized Euler method, is applied to numerically solve the optimality system. Numerical simulations demonstrate the efficiency and effectiveness of the proposed optimization procedure. | ||
| کلیدواژهها | ||
| Optimal control؛ tuberculosis model with exogenous reinfection؛ fractional derivatives | ||
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آمار تعداد مشاهده مقاله: 26 تعداد دریافت فایل اصل مقاله: 13 |
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