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3. Phase portraits of an SIR epidemic model.

Author

Llibre, Jaume and Salhi, Tayeb

Subjects
*EPIDEMICS, *LIMIT cycles, *HOPF bifurcations, *EQUILIBRIUM
Abstract

In this paper, we classify the phase portraits of an SIR epidemic dynamics model. Depending on the values of the parameters, this model can exhibit seven different phase portraits. In particular, from a biological point of view we prove that the unique attractors of this model are one or two equilibrium points depending on the values of the parameters and from the phase portraits follow the basins of attraction of these equilibria. [ABSTRACT FROM AUTHOR]

Published
2024
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