Open AccessAsymptotic behavior of the solutions for a stochastic SIRS model with information intervention
Author(s) -
Tingting Ding,
Tongqian Zhang
Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022327
Subject(s) - bounded function , lyapunov function , moment (physics) , mathematics , intervention (counseling) , epidemic model , population , mathematical optimization , control theory (sociology) , control (management) , computer science , mathematical analysis , medicine , artificial intelligence , nonlinear system , physics , classical mechanics , quantum mechanics , psychiatry , environmental health
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.