In this work we extend the analysis conducted in [5] by accounting for information delays in an SIR model with information-dependent vaccinating behaviour. We obtain a Global Asymptotic Stability (GAS) result for the endemic equilibrium (EE) by the direct method based on Lyapunov functions, thus enriching the studies in [2], [6]. We also illustrate numerically and comment our results in the case of a linear vaccination coverage function.

Global Stability of Equilibria and Lyapunov Functions in a Vaccinating Behavioural SIR model with lagged information

Francesca Centrone
;
Ernesto Salinelli
2024-01-01

Abstract

In this work we extend the analysis conducted in [5] by accounting for information delays in an SIR model with information-dependent vaccinating behaviour. We obtain a Global Asymptotic Stability (GAS) result for the endemic equilibrium (EE) by the direct method based on Lyapunov functions, thus enriching the studies in [2], [6]. We also illustrate numerically and comment our results in the case of a linear vaccination coverage function.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11579/175022
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