Preprint Article Version 1 This version is not peer-reviewed

Lie Symmetry and Painlevé Test for the SIRD Model

Version 1 : Received: 19 November 2018 / Approved: 20 November 2018 / Online: 20 November 2018 (09:47:30 CET)

How to cite: Matadi, M.B. Lie Symmetry and Painlevé Test for the SIRD Model. Preprints 2018, 2018110496 (doi: 10.20944/preprints201811.0496.v1). Matadi, M.B. Lie Symmetry and Painlevé Test for the SIRD Model. Preprints 2018, 2018110496 (doi: 10.20944/preprints201811.0496.v1).

Abstract

In this paper, Lie symmetry and Painlevé 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 exact solution. The study revealed that nonlinear system passes Painlevé test and does not possesses complex chaotic behaviour. However, the system fails to pass the Painlevé 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 invariant solution.

Subject Areas

Painlevé analysis; Lie symmetry analysis; SIR aodel

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