Asymptotic behavior of the solutions for a stochastic SIRS model with information intervention

In this paper, a stochastic SIRS epidemic model with information intervention is considered. By constructing an appropriate Lyapunov function, the asymptotic behavior of the solutions for the proposed model around the equilibria of the deterministic model is investigated. We show the average in time...

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Published inMathematical biosciences and engineering : MBE Vol. 19; no. 7; pp. 6940 - 6961
Main Authors Ding, Tingting, Zhang, Tongqian
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
asymptotic behavior
information intervention
sirs model
stochastic perturbation
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Summary:In this paper, a stochastic SIRS epidemic model with information intervention is considered. By constructing an appropriate Lyapunov function, the asymptotic behavior of the solutions for the proposed model around the equilibria of the deterministic model is investigated. We show the average in time of the second moment of the solutions of the stochastic system is bounded for a relatively small noise. Furthermore, we find that information interaction response rate plays an active role in disease control, and as the intensity of the response increases, the number of infected population decreases, which is beneficial for disease control.
Bibliography:ObjectType-Article-1
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ISSN:1551-0018
1551-0018
DOI:10.3934/mbe.2022327