Strange attractors in a dynamical system inspired by a seasonally forced SIR model
| Autor: | de Carvalho, Jo��o P. S. Maur��cio, Rodrigues, Alexandre A. |
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| Rok vydání: | 2021 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2103.13160 |
| Popis: | We analyze a multiparameter periodically-forced dynamical system inspired in the SIR endemic model. We show that the condition on the \emph{basic reproduction number} $\mathcal{R}_0 < 1$ is not sufficient to guarantee the elimination of \emph{Infectious} individuals due to a \emph{backward bifurcation}. Using the theory of rank-one attractors, for an open subset in the space of parameters where $\mathcal{R}_0 Accepted in Physica D |
| Databáze: | OpenAIRE |
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