Stationary Distribution and Density Function for a High-Dimensional Stochastic SIS Epidemic Model with Mean-Reverting Stochastic Process

Stationary Distribution and Density Function for a High-Dimensional Stochastic SIS Epidemic Model with Mean-Reverting Stochastic Process

This paper explores a high-dimensional stochastic SIS epidemic model characterized by a mean-reverting, stochastic process. Firstly, we establish the existence and uniqueness of a global solution to the stochastic system. Additionally, by constructing a series of appropriate Lyapunov functions, we c...

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Bibliographic Details
Main Authors: Huina Zhang, Jianguo Sun, Xuhan Wen
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Axioms
Subjects:
stochastic SIS epidemic model
Ornstein–Uhlenbeck process
stationary distribution
local stability
probability density function
Online Access:https://www.mdpi.com/2075-1680/13/11/768
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