Analysis of an age structured SIR epidemic model with fractional Caputo derivative

	Analysis of an age structured SIR epidemic model with fractional Caputo derivative
International Journal of Nonlinear Analysis and Applications
مقاله 8، دوره 14، شماره 5، مرداد 2023، صفحه 79-93 اصل مقاله (451.43 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29877.4283
نویسندگان
Fatima Cherkaoui^* ؛ Khalid Hilal؛ Abdelaziz Qaffou
Laboratory LMACS, FST of Beni-Mellal, Sultan Moulay Slimane University, Morocco
چکیده
In this paper, we consider a mathematical model with fractional derivatives in the sense of Caputo with respect to time. It describes the spread of an infectious disease that is directly transmitted in an age-structured population and whose transmission coefficient varies with age. We formulate the basic model as an abstract fractional Cauchy problem on a Banach space to prove the existence, and uniqueness of a local mild solution and ensure the global existence of a solution. Moreover, the results for the existence and uniqueness of non-trivial steady states are also demonstrated under the appropriate conditions.
کلیدواژه‌ها
Age structure؛ Fractional epidemic model؛ SIR epidemic model
مراجع

آمار تعداد مشاهده مقاله: 17,234 تعداد دریافت فایل اصل مقاله: 10,625

پیوندهای مفید

آمار