Dynamics of a stochastic SIQR epidemic model with standard incidence

Zhongwei Cao, Wei Feng, Xiangdan Wen, Li Zu and Ming Cheng

Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C

Abstract: In this paper, a stochastic SIQR epidemic model with quarantine and standard incidence is investigated. We first consider the existence and uniqueness of the global positive solution to the stochastic system. Further, we obtain conclusions that the large noise can make the disease die out exponentially, and the stationary distribution will exist under certain conditions.

Keywords: Stochastic SIQR epidemic model; Extinction; Stationary distribution; Itô’s formula (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307113

DOI: 10.1016/j.physa.2019.121180

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