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 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.

Automated summary

This paper investigates a stochastic SIRS epidemic model with information intervention, and examines the asymptotic behavior of the solutions by constructing an appropriate Lyapunov function. The results show that the average in time of the second moment of the solutions is bounded for a relatively small noise. Additionally, the study finds that the information interaction response rate plays an active role in disease control.