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
In corso di stampa
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.File in questo prodotto:
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