Dynamics of SEIR epidemic model by optimal auxiliary functions method

Bogdan Marinca, Vasile Marinca and Ciprian Bogdan

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutions are obtained using Optimal Auxiliary Functions Method (OAFM). Our technique ensures a fast convergence of the solutions after only one iteration. The nonstandard part of OAFM is described by the presence of so-called auxiliary functions and of the optimal convergence-control parameters. We have a great freedom to select the auxiliary functions and the number of optimal convergence-control parameters which are optimally determined. Our approach is independent of the presence of small or large parameters in the governing equations or in the initial/boundary conditions, is effective, simple and very efficient.

Keywords: Novel coronavirus; Approximate solutions; Epidemics SEIR model; Optimal auxiliary function method (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003039

DOI: 10.1016/j.chaos.2021.110949

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