Stability analysis of fractional order model on corona transmission dynamics

Evren Hincal; Sultan Hamed Alsaadi

doi:10.1016/j.chaos.2020.110628

Stability analysis of fractional order model on corona transmission dynamics

Chaos Solitons Fractals. 2021 Feb:143:110628. doi: 10.1016/j.chaos.2020.110628. Epub 2021 Jan 12.

Authors

Evren Hincal¹, Sultan Hamed Alsaadi¹

Affiliation

¹ Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey.

Abstract

In this paper a fractional order mathematical model is constructed to study the dynamics of corona virus in Oman. The model consists of a system of eight non-linear fractional order differential equations in Caputo sense. Existence and uniqueness as well as the stability analysis of the solution of the model are given. The stability analysis is in the frame of Ulam-Hyers and generalized Ulam-Hyers criteria. Numerical simulations are given to support the theoretical results. Many informations on the dynamics of COVID -19 in Oman were obtained using this model. Also many informations on the qualitative behaviour of the model were obtained.

Keywords: Corona virus; Existence; Mathematical model; Ulam-Hyers stability; Uniqueness.