6533b831fe1ef96bd129874c
RESEARCH PRODUCT
Stability of a stochastic SIR system
Stefania Maria BuccellatoElisabetta TornatorePasquale Vetrosubject
Statistics and ProbabilityLyapunov functionStochastic stabilityComputer simulationStochastic processComputer Science::Social and Information NetworksCondensed Matter PhysicsStability (probability)Noise (electronics)SIR model Lyapunov function Stochastic process Stochastic stabilitysymbols.namesakeControl theorysymbolsQuantitative Biology::Populations and EvolutionApplied mathematicsEpidemic modelMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-08-01 | Physica A: Statistical Mechanics and its Applications |