Journal
MATHEMATICAL BIOSCIENCES AND ENGINEERING
Volume 19, Issue 7, Pages 6940-6961Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2022327
Keywords
information intervention; SIRS model; stochastic perturbation; asymptotic behavior
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Funding
- Shandong Provincial Natural Science Foundation of China [ZR2019MA003]
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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.
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.
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