Stability of a stochastic SIR system

Elisabetta Tornatore, Stefania Maria Buccellato and Pasquale Vetro

Physica A: Statistical Mechanics and its Applications, 2005, vol. 354, issue C, 111-126

Abstract: 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.

Keywords: SIR model; Delay SIR model; Lyapunov function; Stochastic process; Numerical simulation; Stochastic stability (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (50)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:354:y:2005:i:c:p:111-126

DOI: 10.1016/j.physa.2005.02.057

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