A numerical and analytical study of SE(Is)(Ih)AR epidemic fractional order COVID-19 model

Abstract

This article describes the corona virus spread in a population under certain assumptions with the help of a fractional order mathematical model. The fractional order derivative is the well-known fractal fractional operator. We have given the existence results and numerical simulations with the help of the given data in the literature. Our results show similar behavior as the classical order ones. This characteristic shows the applicability and usefulness of the derivative and our numerical scheme.

A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

“…In recent years, fractal-fractional (FF) extensions of mathematical integer-order models have been investigated by researchers [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] . Additionally, some works on diseases can be summarize briefly as the following, respectively: Kouidere et al.…”

“…The reproduction number, a crucial essential for flattening the time-evolution of Covid-19 cases, was derived using the next generation matrix technique, which was used to analyse the stability of the model’s steady states. Readers should look at the papers below for some current work on the behaviours of fractional and fractal models [14] , [15] , [16] , [29] , [30] , [31] , [32] , [33] .…”

Solution of fractional Sawada–Kotera–Ito equation using Caputo and Atangana–Baleanu derivatives

“…This new ABC derivative has a great memory due to the existence of Mittag–Leffler function as its nonlocal kernel; eventually, it results in a better comparative performance as compared to other existing fractional derivative operators. Validation of the above claim is justified by applying ABC operator, instead of other operators, and solving various scientific models, namely, the general sequential hybrid class of FDEs [15, 16], controllability of neutral impulsive [17], Covid‐19 mathematical model [18, 19], fractional typhoid model [20], wireless sensor network as an application of the fuzzy fractional SIQR model [21], plasma particle model with circular LASER light polarization [22], Hepatitis B model [23], SEIR and blood coagulation technologies [24], a fractal‐fractional tuberculosis [25] and tobacco [26] mathematical model, a class of population growth model [27], and the fractional nonlinear logistic system [27].…”

On fractal-fractional Covid-19 mathematical model

“…During the recent years, numerous mathematical models of fractal and fractional order to the Covid-19 have also been constructed by researchers [2] , [3] , [4] , [5] , [6] , [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] , [31] , [32] . Now, we would like to summarize some works on the Covid-19 briefly.…”