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ELISABETTA TORNATORE

Stability of a stochastic SIR system

  • Autori: TORNATORE E; BUCCELLATO S; VETRO P
  • Anno di pubblicazione: 2005
  • Tipologia: Articolo in rivista
  • Parole Chiave: SIR model, Lyapunov function, Stochastic process, Stochastic stability
  • OA Link: http://hdl.handle.net/10447/3870

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.