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.
TORNATORE E, BUCCELLATO S, VETRO P (2005). Stability of a stochastic SIR system. PHYSICA. A, 354, 111-126 [10.1016/j.physa.2005.02.057].
Stability of a stochastic SIR system
TORNATORE, Elisabetta;BUCCELLATO, Stefania Maria;VETRO, Pasquale
2005-01-01
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.
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