Lyapunov stability of an SIRS epidemic model with varying population

Alberto d'Onofrio; Piero Manfredi; Ernesto SALINELLI

Lyapunov stability of an SIRS epidemic model with varying population

Alberto d'Onofrio, Piero Manfredi, Ernesto SALINELLI

Dipartimento di Medicina Traslazionale

Risultato della ricerca: Altro contributo

Abstract

In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.

Lingua originale	Inglese
Stato di pubblicazione	Pubblicato - 1 gen 2018

Keywords

Lyapunov function
SIRS models
endemic equilibrium.
global asymptotic stability
variable population

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title = "Lyapunov stability of an SIRS epidemic model with varying population",

abstract = "In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.",

keywords = "Lyapunov function, SIRS models, endemic equilibrium., global asymptotic stability, variable population, Lyapunov function, SIRS models, endemic equilibrium., global asymptotic stability, variable population",

author = "Alberto d'Onofrio and Piero Manfredi and Ernesto SALINELLI",

year = "2018",

month = jan,

day = "1",

language = "English",

type = "Other",

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TY - GEN

T1 - Lyapunov stability of an SIRS epidemic model with varying population

AU - d'Onofrio, Alberto

AU - Manfredi, Piero

AU - SALINELLI, Ernesto

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.

AB - In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.

KW - Lyapunov function

KW - SIRS models

KW - endemic equilibrium.

KW - global asymptotic stability

KW - variable population

KW - Lyapunov function

KW - SIRS models

KW - endemic equilibrium.

KW - global asymptotic stability

KW - variable population

UR - https://iris.uniupo.it/handle/11579/99426

M3 - Other contribution

ER -

Lyapunov stability of an SIRS epidemic model with varying population

Abstract

Keywords

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