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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.org 2018, 2018110496. https://doi.org/10.20944/preprints201811.0496.v1 Matadi, M.B. Lie Symmetry and Painlevé Test for the SIRD Model. Preprints.org 2018, 2018110496. https://doi.org/10.20944/preprints201811.0496.v1
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.
Painlevé analysis; Lie symmetry analysis; SIR aodel
Computer Science and Mathematics, Applied Mathematics
Copyright: 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.
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