Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information

In this article, we mainly consider the dynamic analysis of a stochastic infectious disease model with negative feedback, a symmetric and compatible distribution family. Based on the sir epidemic model taking into account the isolation (y) and the death (v), we consider adding a new variable (w) to...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 9; p. 1781
Main Authors Wu, Wanqin, Luo, Wenhui, Chen, Hui, Zhao, Yun
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2023
Subjects
Cholera
Communicable diseases
COVID-19 vaccines
Disease prevention
Disease transmission
epidemic model
Epidemics
extinction
Feedback
Infections
Infectious diseases
Liapunov functions
Mathematical analysis
Mathematical models
Mortality
Negative feedback
Ordinary differential equations
Pandemics
Pathogens
Quarantine
R&D
random boundedness
Research & development
stationary distribution
United States > US
China
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Summary:In this article, we mainly consider the dynamic analysis of a stochastic infectious disease model with negative feedback, a symmetric and compatible distribution family. Based on the sir epidemic model taking into account the isolation (y) and the death (v), we consider adding a new variable (w) to control the information of non-drug interventions, which measures transformations in isolation performance that determine the epidemic, and establish a new model. We have demonstrated various properties of the model solution using Lyapunov functions for this model. To begin with, we demonstrate the existence and uniqueness of the global positive solution. After that, we obtained the conditions that need to be met for the extinction of the disease and verified the correctness of the conclusion by simulating numerical values. Afterwards, we prove the stochastic boundedness and stationary distribution of the model solution.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15091781