On the integrability of the SIRD epidemic model

Maba Boniface Matadi

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.

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Published: 2020-07-28

How to Cite this Article:

Maba Boniface Matadi, On the integrability of the SIRD epidemic model, Commun. Math. Biol. Neurosci., 2020 (2020), Article ID 47

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.

Commun. Math. Biol. Neurosci.

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