Stability of a stochastic SIR system

We propose a stochastic SIR model with or without distributed time delay and we study the stability of disease-free equilibrium. The numerical simulation of the stochastic SIR model shows that the introduction of noise modifies the threshold of system for an epidemic to occur and the threshold stochastic value is found.

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Year of publication:	2005
Authors:	Tornatore, Elisabetta ; Maria Buccellato, Stefania ; Vetro, Pasquale
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 354.2005, C, p. 111-126
Publisher:	Elsevier
Subject:	SIR model \| Delay SIR model \| Lyapunov function \| Stochastic process \| Numerical simulation \| Stochastic stability

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010872238