Dynamical behavior of stochastic Markov switching hepatitis B epidemic model with saturated incidence rate
type: Item
instance of: scholarly article
title: Dynamical behavior of stochastic Markov switching hepatitis B epidemic model with saturated incidence rate
zbMATH Open document ID: 1481.92150
DOI: 10.1155/2022/5574983
author: Chun Lu
published in: Journal of Function Spaces
publication date: 2022-01-31T00:00:00Z
review text: Summary: The article researches a stochastic hepatitis B epidemic model with saturated incidence rate, which is perturbed by both white noise and colored noise. Firstly, we obtain a significant criterion \(R_0^S\) which relies on environmental noises. By means of Lyapunov function approach, we show that there is a stationary distribution if \(R_0^S>1\). Its condition implies that when white noise is small, in the stochastic model, there exists a stochastic positive equilibrium state without changing the basic properties of its corresponding deterministic model. Secondly, we derive sufficient criteria for extinction of the disease. Finally, we propose a definition of the solution to an impulsive stochastic functional differential equation with Markovian switching (ISFDM).
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K50
zbMATH DE Number: 7466785
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2022/5574983
OpenAlex ID: W4205454421
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description: scientific article; zbMATH DE number 7466785