Abstract
In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). These models are nonlinear system of conformable fractional differential equation (CFDE) that has no analytic solution. The VIM is based on conformable fractional derivative and proved. The result revealed that both methods are in agreement and are accurate and efficient for solving systems of OFDE.
Highlights
(iii) r(t): the number of removed, who cannot get the disease or transmit it; either they have a natural immunity or they have recovered from the disease and are immune from getting it again or they have been placed in isolation or they have died. e mathematical model does not distinguish between these possibilities
E following simple SIR model [2,3,4,5] is transformed to conformable fractional differential equation and is tested to International Journal of Differential Equations show the efficiency of the variational iteration method [6] and differential transformation method [7,8,9,10,11] to solve such models
We have found out approximate solutions with two numerical methods for the SIR epidemic model. ese methods are based on conformable derivative which is extremely popular in the last years
Summary
(iii) r(t): the number of removed, who cannot get the disease or transmit it; either they have a natural immunity or they have recovered from the disease and are immune from getting it again or they have been placed in isolation or they have died. e mathematical model does not distinguish between these possibilities. R(0) Nr. e following simple SIR model [2,3,4,5] is transformed to conformable fractional differential equation and is tested to International Journal of Differential Equations show the efficiency of the variational iteration method [6] and differential transformation method [7,8,9,10,11] to solve such models. Using fractional-order differential equations can help us to reduce the errors arising from the neglected parameters in modelling real-life phenomena. E main objective of our work is to introduce the conformable fractional-order approach for the study of a particular SIR model in a constant population.
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