Existence and estimation of the Hausdorff dimension of attractors for an epidemic model
We prove the existence of pullback and uniform attractors for the process associated to a non-autonomous SIR model, with several types of non-autonomous features. The Hausdorff dimension of the pullback attractor is also estimated. We illustrate some examples of pullback attractors by numerical simu...
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/157535 |
| Acceso en línea: | https://hdl.handle.net/11441/157535 https://doi.org/10.1002/mma.4008 |
| Access Level: | acceso abierto |
| Palabra clave: | SIR epidemic model, Non-autonomous equation, Attractor, Hausdorff dimension |
| Sumario: | We prove the existence of pullback and uniform attractors for the process associated to a non-autonomous SIR model, with several types of non-autonomous features. The Hausdorff dimension of the pullback attractor is also estimated. We illustrate some examples of pullback attractors by numerical simulations. |
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