Caputo fractional reduced differential transform method for SEIR epidemic model with fractional order

2021;
: pp. 537–548
https://doi.org/10.23939/mmc2021.03.537
Received: May 28, 2021
Revised: July 23, 2021
Accepted: August 01, 2021
1
Department of Mathematics, Faculty of Science, Ekiti State University
2
Department of Mathematics, Aligarh Muslim University
3
Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University

This paper proposes the Caputo Fractional Reduced Differential Transform Method (CFRDTM) for Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model with fractional order in a host community.  CFRDTM is the combination of the Caputo Fractional Derivative (CFD) and the well-known Reduced Differential Transform Method (RDTM).  CFRDTM demonstrates feasible progress and efficiency of operation.  The properties of the model were analyzed and investigated.  The fractional SEIR epidemic model has been solved via CFRDTM successfully.  Hence, CFRDTM provides the solutions of the model in the form of a convergent power series with easily computable components without any restrictive assumptions.

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Mathematical Modeling and Computing, Vol. 8, No. 3, pp. 537–548 (2021)