Fractional SIQRV Model for COVID-19 and Numerical Solutions

Year 2023, Volume: 11 Issue: 2, 131 - 140, 31.10.2023

Zafer Öztürk , Halis Bilgil , Sezer Sorgun

Abstract

There is a pandemic situation caused by the COVID-19 epidemic almost all over the world. Despite the measures taken to prevent this epidemic and the vaccine studies developed, the course of the epidemic changes period as the virus mutates and changes its structure. The common opinion of the experts is that the most important weapon in the ght against the epidemic is the vaccine.In this paper, a new fractional SIQRV model was obtained by adding a class of vaccinated individuals to the SIQR (Susceptible-Infected-Quarantine-Recovered) epidemic disease model. Fractional derivatives are used in the sense of Caputo. In the newly created fractional SIQRV model, the total population is divided into ve parts. Mathematical analyses were performed on susceptible individuals (S), infective individuals (I), quarantined individuals (Q), recovered individuals (R) and vaccinated individuals (V). Numerical results were got with the help of Generalized Euler Method and graphs were drawn.

Keywords

Fractional SIQRV Model, Pandemic, Generalized Euler Method, Quarantine, Vaccination, Caputo Fractional Derivative

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