The Exact Solutions of a Diffusive SIR Model via Symmetry Groups
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 sy...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/4598831 |
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| author | R. Naz A. G. Johnpillai F. M. Mahomed |
| author_facet | R. Naz A. G. Johnpillai F. M. Mahomed |
| author_sort | R. Naz |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-23fa145ee36646db9ca98c4b5b732a7a |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-23fa145ee36646db9ca98c4b5b732a7a2025-02-03T01:30:20ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/4598831The Exact Solutions of a Diffusive SIR Model via Symmetry GroupsR. Naz0A. G. Johnpillai1F. M. Mahomed2Department of Mathematics and Statistical SciencesDepartment of MathematicsDSI-NRF Centre of Excellence in Mathematical and Statistical SciencesThe 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.http://dx.doi.org/10.1155/2024/4598831 |
| spellingShingle | R. Naz A. G. Johnpillai F. M. Mahomed The Exact Solutions of a Diffusive SIR Model via Symmetry Groups Journal of Mathematics |
| title | The Exact Solutions of a Diffusive SIR Model via Symmetry Groups |
| title_full | The Exact Solutions of a Diffusive SIR Model via Symmetry Groups |
| title_fullStr | The Exact Solutions of a Diffusive SIR Model via Symmetry Groups |
| title_full_unstemmed | The Exact Solutions of a Diffusive SIR Model via Symmetry Groups |
| title_short | The Exact Solutions of a Diffusive SIR Model via Symmetry Groups |
| title_sort | exact solutions of a diffusive sir model via symmetry groups |
| url | http://dx.doi.org/10.1155/2024/4598831 |
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