Stationary distribution, density function and extinction of a stochastic SIQR epidemic model with Ornstein–Uhlenbeck process

Ying Yang, Jingwen Zhang, Kaiyuan Wang and Guofang Zhang

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

Abstract: In this paper, an analysis of a stochastic SIQR epidemic model under the Ornstein–Uhlenbeck process is provided. The local asymptotic stability of the endemic equilibrium for the deterministic system is discussed, followed by a proof of the existence and uniqueness of the global positive solution for the stochastic system. Subsequently, a stochastic threshold R0e is established to ensure disease extinction. The study further investigates the persistence and stationary distribution of the stochastic SIQR epidemic model, and calculates the probability density function near the quasi-endemic equilibrium. Finally, numerical simulations are presented to corroborate the theoretical findings.

Keywords: SIQR epidemic model; Ornstein–Uhlenbeck process; Extinction; Stationary distribution; Density function (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005241

DOI: 10.1016/j.chaos.2024.114972

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