GLOBAL STABILITY OF EQUILIBRIA AND LYAPUNOV FUNCTIONS IN A VACCINATING BEHAVIOURAL SIR MODEL WITH LAGGED INFORMATION

Francesca Centrone; Ernesto Salinelli

doi:10.17654/0972087125004

GLOBAL STABILITY OF EQUILIBRIA AND LYAPUNOV FUNCTIONS IN A VACCINATING BEHAVIOURAL SIR MODEL WITH LAGGED INFORMATION

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

In this work, we prove two global asymptotic stability (GAS) results for the endemic equilibrium (EE) of an SIR model with informationdependent vaccinating behaviour and information delay, introduced in [7]. Differently from [3], we obtain our results by the direct method based on Lyapunov functions: the first one in a general context, the second one for a piecewise linear coverage function. For this last case, we compare our results and the one in [3] both analytically and numerically, thus enriching the range of exploration of the model parameters.

Lingua originale	Inglese
pagine (da-a)	35-56
Numero di pagine	22
Rivista	FAR EAST JOURNAL OF MATHEMATICAL SCIENCES: FJMS
Volume	142
Numero di pubblicazione	1
DOI	https://doi.org/10.17654/0972087125004
Stato di pubblicazione	Pubblicato - feb 2025

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title = "GLOBAL STABILITY OF EQUILIBRIA AND LYAPUNOV FUNCTIONS IN A VACCINATING BEHAVIOURAL SIR MODEL WITH LAGGED INFORMATION",

abstract = "In this work, we prove two global asymptotic stability (GAS) results for the endemic equilibrium (EE) of an SIR model with informationdependent vaccinating behaviour and information delay, introduced in [7]. Differently from [3], we obtain our results by the direct method based on Lyapunov functions: the first one in a general context, the second one for a piecewise linear coverage function. For this last case, we compare our results and the one in [3] both analytically and numerically, thus enriching the range of exploration of the model parameters.",

keywords = "Lyapunov functions, SIR models with vaccination, behavioural epidemiology, global stability, lagged information, rational exemption",

author = "Francesca Centrone and Ernesto Salinelli",

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N2 - In this work, we prove two global asymptotic stability (GAS) results for the endemic equilibrium (EE) of an SIR model with informationdependent vaccinating behaviour and information delay, introduced in [7]. Differently from [3], we obtain our results by the direct method based on Lyapunov functions: the first one in a general context, the second one for a piecewise linear coverage function. For this last case, we compare our results and the one in [3] both analytically and numerically, thus enriching the range of exploration of the model parameters.

AB - In this work, we prove two global asymptotic stability (GAS) results for the endemic equilibrium (EE) of an SIR model with informationdependent vaccinating behaviour and information delay, introduced in [7]. Differently from [3], we obtain our results by the direct method based on Lyapunov functions: the first one in a general context, the second one for a piecewise linear coverage function. For this last case, we compare our results and the one in [3] both analytically and numerically, thus enriching the range of exploration of the model parameters.

KW - Lyapunov functions

KW - SIR models with vaccination

KW - behavioural epidemiology

KW - global stability

KW - lagged information

KW - rational exemption

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JF - FAR EAST JOURNAL OF MATHEMATICAL SCIENCES: FJMS

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GLOBAL STABILITY OF EQUILIBRIA AND LYAPUNOV FUNCTIONS IN A VACCINATING BEHAVIOURAL SIR MODEL WITH LAGGED INFORMATION

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