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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2020 (2020), Article ID 47

On the integrability of the SIRD epidemic model

Maba Boniface Matadi

PDF (160.1 KB) https://doi.org/10.28919/cmbn/4611

Abstract

In this paper, Lie symmetry and Painleve Techniques are applied to the SIRD (Susceptible, Infected, Recovered and Dead) model. A demonstration of the integrability of the model is provided to present an explicit solution. The study revealed a complex chaotic behaviour at a specific value of constant constraints. However, the system fails to pass the Painleve test while constraints reach values equivalent to the corresponding complex chaotic behaviour. The two-dimensional Lie symmetry algebra and the commutator table of the infinitesimal generators are obtained. Lie symmetry analysis serves to linearize the nonlinear system and find the corresponding exact solution.

Published
28 July 2020
Volume
2020 (2020)
License
CC BY 3.0

Copyright © 2020 Maba Boniface Matadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. B. Matadi, On the integrability of the SIRD epidemic model, Commun. Math. Biol. Neurosci. 2020 (2020), 47. https://doi.org/10.28919/cmbn/4611

BibTeX
@article{Matadi2020,
  author  = {Matadi, Maba Boniface},
  title   = {On the integrability of the SIRD epidemic model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2020},
  year    = {2020},
  pages   = {47},
  doi     = {10.28919/cmbn/4611}
}