Density function and stationary distribution of a stochastic SIR model with distributed delay

DOI10.1016/j.aml.2022.107931zbMath1489.92194OpenAlexW4205320765MaRDI QIDQ2143493

Yaxin Zhou, Wenjie Zuo

Publication date: 31 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.107931

zbMATH Keywords

Lyapunov functiondistributed delaystationary distributiondensity functionstochastic SIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

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Cites Work

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• The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
• Existence theorems for periodic Markov process and stochastic functional differential equations
• Stationary distribution and extinction of a stochastic model of syphilis transmission in an MSM population with telegraph noises
• Stationary distribution and ergodicity of a stochastic cholera model with multiple pathways of transmission
• Dynamical analysis and numerical simulations on a Crowley-Martin predator-prey model in stochastic environment
• Stationary distribution and density function analysis of a stochastic epidemic HBV model
• An Asymptotic Solution to a Two-Dimensional Exit Problem Arising in Population Dynamics

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