Stationary distribution and extinction of a stochastic SEIS epidemic model motivated by Black-Karasinski process

DOI10.1016/J.AML.2023.108921zbMath1529.34052OpenAlexW4388486317MaRDI QIDQ6141016

Baoquan Zhou, Ning-Zhong Shi

Publication date: 2 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108921

zbMATH Keywords

extinctionstationary distributionstochastic SEIS epidemic modelBlack-Karasinski process

Mathematics Subject Classification ID

Epidemiology (92D30) Probability distributions: general theory (60E05) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Environmental variability and mean-reverting processes
• Threshold dynamics and probability density function of a stochastic avian influenza epidemic model with nonlinear incidence rate and psychological effect
• Environmental variability in a stochastic epidemic model
• Global stability for a class of mass action systems allowing for latency in tuberculosis
• The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
• Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein-Uhlenbeck process
• Conditions for permanence and ergodicity of certain stochastic predator–prey models
• THE DYNAMICS AND THERAPEUTIC STRATEGIES OF A SEIS EPIDEMIC MODEL

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