Caputo fractional-order SEIRP model for COVID-19 Pandemic

Saheed O. Akindeinde, Eric Okyere, Adebayo O. Adewumi, Ramoshweu S. Lebelo, Olanrewaju O. Fabelurin, Stephen E. Moore

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a Caputo-based fractional compartmental model for the dynamics of the novel COVID-19 pandemic. The newly proposed nonlinear fractional order model is an extension of a recently formulated integer-order COVID-19 mathematical model. Using basic concepts such as continuity and Banach fixed-point theorem, existence and uniqueness of the solution to the proposed model were shown. Furthermore, we analyze the stability of the model in the context of Ulam-Hyers and generalized Ulam-Hyers stability criteria. The concept of next-generation matrix was used to compute the basic reproduction number R0, a number that determines the spread or otherwise of the disease into the general population. We also investigated the local asymptotic stability for the derived disease-free equilibrium point. Numerical simulation of the constructed epidemic model was carried out using the fractional Adam-Bashforth-Moulton method to validate the obtained theoretical results.

Original languageEnglish
JournalAlexandria Engineering Journal
DOIs
Publication statusAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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