Solving the COVID-19 fractional model by using Sumudu transform and ADM

In this paper, we suggest a modification to a model classifying COVID-19 in. Spain given by Faïçal Ndaïrou and Delfim F. M. Torres. It consists of eight fractional differential equations S(t), E(t), I(t), P(t), A(t), H(t), R(t) and F(t), which represent to the susceptible individuals at time t, expo...

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Bibliographic Details
Main Authors: Abdulla, Zahraa K., Al-Azzawi, Saad Naji
Format: Conference Proceeding
Language:English
Subjects:
COVID-19
Differential equations
Disease transmission
Fractional calculus
Mathematical models
Spreaders
Online Access:Get full text
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Summary:In this paper, we suggest a modification to a model classifying COVID-19 in. Spain given by Faïçal Ndaïrou and Delfim F. M. Torres. It consists of eight fractional differential equations S(t), E(t), I(t), P(t), A(t), H(t), R(t) and F(t), which represent to the susceptible individuals at time t, exposed individuals, symptomatic and infectious individuals, super-spreaders, infectious but asymptomatic individuals, hospitalized individuals, recovery individuals, and fatality class respectively. These fractional differential equations have different orders. The existence and uniqueness of the solution are proved, and the stability of the disease-free equilibrium point is shown. Also, the approximate solution is calculated by using the Sumudu transform and Adomain decomposition method (ADM) and applying the real data. Finding that the model described the disease closely and accurately to the actual data. The reasonable results that get are illustrated by the figures with respect to the values of the fractional derivatives where the symptomatic and infectious individuals I(t) increase rapidly at the beginning to reach the maximum then decrease. Similarly, for super-spreaders P(t) but P(t) grows and decays slower than I(t). All these happen according to the strategies of the governments and the effectiveness of the treatments.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0167781