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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 145459 Total View: 1795587
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2022.12.017

A Laplace Adomian Decomposition Method for Fractional Order Infection Model

Yushuang Zeng

Department of Mathematics and Information, China West Normal University, Nanchong, China.

*Corresponding author: Yushuang Zeng

Published: January 14,2023

Abstract

Arbitrary order calculus to model real phenomena has been applied to various fields such as physics, chemisty, biology, etc. Therefore, more and more researchers prefer to use fractional order to describe infectious disease models. This article mainly discusses the dynamics of one susceptible-exposed-infected-recovered (SEIR) model of fractional order in Caputo sense. The premise of this model is that there is no vaccination. Recovered person will lose immunity and then return to susceptible group after a period of time. The approximate solution will be obtained with Laplace Adomian decomposition method (LADM) which has been proved to be an effective and reliable approach. Approximate results can be obtained through fewer iterations, which shows the effectiveness and simplicity of the LADM. From the graphical results it is suggested the flexibility and practicability of fractional differential. It is also indicated that universal vaccination in time is essential, otherwise the number of infected people is likely to continue to increase for a long time.

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How to cite this paper

A Laplace Adomian Decomposition Method for Fractional Order Infection Model

How to cite this paper:  Yushuang Zeng. (2022) TA Laplace Adomian Decomposition Method for Fractional Order Infection Model. Journal of Applied Mathematics and Computation6(4), 529-534.

DOI: http://dx.doi.org/10.26855/jamc.2022.12.017