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.


60H30 Applications of stochastic analysis (to PDEs, etc.)
92D30 Epidemiology
60H35 Computational methods for stochastic equations (aspects of stochastic analysis)
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34D05 Asymptotic properties of solutions to ordinary differential equations
34F05 Ordinary differential equations and systems with randomness
Full Text: DOI


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