Dynamical Behavior of Stochastic Markov Switching Hepatitis B Epidemic Model with Saturated Incidence Rate

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 R0S which relies on environmental noises. By means of Lyapunov function approach, we show that there is a...

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Bibliographic Details
Published inJournal of function spaces Vol. 2022; pp. 1 - 8
Main Author Lu, Chun
Format Journal Article
LanguageEnglish
Published New York Hindawi 2022
Hindawi Limited
Subjects
Differential equations
Epidemic models
Epidemics
Equilibrium
Hepatitis
Hepatitis B
Immunization
Infectious diseases
Liapunov functions
Markov analysis
Noise
Random variables
Stochastic models
Stochasticity
Switching
White noise
China
Shandong China
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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 R0S which relies on environmental noises. By means of Lyapunov function approach, we show that there is a stationary distribution if R0S>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).
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/5574983