A comparison between random and stochastic modeling for a SIR model (Q728521)

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scientific article; zbMATH DE number 6666327
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A comparison between random and stochastic modeling for a SIR model
scientific article; zbMATH DE number 6666327

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    A comparison between random and stochastic modeling for a SIR model (English)
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    20 December 2016
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    The authors consider a random and a stochastic version of a SIR nonautonomous model. The existence of a random attractor is proved for the random model. For the stochastic model, some environmental effects are considered in the form of stochastic perturbations of the coefficient of the system, and the asymptotic behavior of a solution is analyzed. A comparison between two different modeling strategies is given.
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    epidemiology
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    stochastic differential equations
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    random dynamical systems
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