The Exact Solutions of a Diffusive SIR Model via Symmetry Groups

R. Naz, A. G. Johnpillai, F. M. Mahomed and Antonio Di Crescenzo

Journal of Mathematics, 2024, vol. 2024, 1-14

Abstract: The focus of this paper is to investigate the exact solutions of a diffusive susceptible-infectious-recovered (SIR) epidemic model, characterized by a nonlinear incidence. A four-dimensional Lie point symmetry algebra is obtained for this model. We utilize the Lie symmetries to deduce the optimal system of one-dimensional subalgebras. The reductions and group-invariant solutions are obtained with the aid of these subalgebras. We also derive new group-invariant solutions and reductions for the underlying model via subalgebras that are related to the optimal system by adjoint maps. We developed the diffusive susceptible-infectious-quarantined (SIQ) model with quarantine-adjusted incidence function to understand the transmission dynamics of COVID-19.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4598831

DOI: 10.1155/2024/4598831

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