n this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in [19] is considered. In particular, the existence of a random attractor is proved for the random model and the persistence of the disease is analyzed as well. In the stochastic case, we consider some environmental effect on the model, in fact, we assume that one of the coefficients of the system is affected by some stochastic perturbation, and analyze the asymptotic behavior of the solutions. The paper is concluded with a comparison between the two different modeling strategies.
A comparison between random and stochastic modeling for a SIR model / Caraballo, Tomás; Colucci, Renato. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - STAMPA. - 16:1(2017), pp. 151-162. [10.3934/cpaa.2017007]
A comparison between random and stochastic modeling for a SIR model
Colucci, Renato
2017-01-01
Abstract
n this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in [19] is considered. In particular, the existence of a random attractor is proved for the random model and the persistence of the disease is analyzed as well. In the stochastic case, we consider some environmental effect on the model, in fact, we assume that one of the coefficients of the system is affected by some stochastic perturbation, and analyze the asymptotic behavior of the solutions. The paper is concluded with a comparison between the two different modeling strategies.| File | Dimensione | Formato | |
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Descrizione: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure and Applied Analysis (ISSN 1534-0392) following peer review. The definitive publisher-authenticated version Tomás Caraballo, Renato Colucci, A comparison between random and stochastic modeling for a SIR model, Communications on Pure and Applied Analysis, 16,1,151,162, 2016-11-1, is available online at: https://www.aimsciences.org/article/doi/10.3934/cpaa.2017007 doi: 10.3934/cpaa.2017007
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