Asymptotic behavior of global positive solution to a stochastic SIR model

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Abstract

In this paper, 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.

Keywords

Stochastic SIR model
Brownian motion
Itoˆ’s formula
Global positive solution
Asymptotic behavior

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