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Asymptotic behavior of global positive solution to a stochastic SIR model. (English) Zbl 1225.60114
Summary: We explore a stochastic SIR model and show that this model has a unique global positive solution. Furthermore, we investigate the asymptotic behavior of this solution. Finally, numerical simulations are presented to illustrate our mathematical findings.

60H30Applications of stochastic analysis
60H35Computational methods for stochastic equations
60H10Stochastic ordinary differential equations
34D05Asymptotic stability of ODE
34F05ODE with randomness
Full Text: DOI
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