Analysis of Caputo fractional SEIR model for Covid-19 pandemic | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 25، دوره 14، شماره 12، اسفند 2023، صفحه 305-314 اصل مقاله (406.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27025.3478 | ||
| نویسنده | ||
| Saeid Shagholi* | ||
| Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Iran | ||
| چکیده | ||
| In this paper, we study the spread of COVID-19 and its effect on a population through mathematical models. We propose a Caputo time-fractional compartmental model (SEIR) comprising the susceptible, exposed, infected and recovered population for the dynamics of the COVID-19 pandemic. The proposed nonlinear fractional model is an extension of a formulated integer-order COVID-19 mathematical model. The existence of a unique solution for the proposed model was shown by using basic concepts such as continuity and Banach's fixed-point theorem. The uniqueness and boundedness of the solutions of the proposed model are investigated. We calculate a central quantity in epidemiology called the basic reproduction number, $R_{0}$ by the concept of the next-generation matrices approach. The equilibrium points of the model are calculated and the local asymptotic stability for the derived disease-free equilibrium point is discussed. | ||
| کلیدواژهها | ||
| Time-fractional model؛ SEIR epidemic model؛ Covid-19؛ Banach fixed-point؛ Stability Analysis | ||
| مراجع | ||
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