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Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence

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  • Zhongwei Cao
  • Shengjuan Zhou

Abstract

We study the dynamics of a stochastic SIQR epidemic disease with quarantine-adjusted incidence in this article. In order to find the sufficient conditions for the ergodicity and extermination of the model, we construct suitable stochastic Lyapunov functions and find the results of the stochastic SIQR epidemic model. From the results, we find that when the white noise is relatively large, the infectious diseases will become extinct; this also shows that the intervention of white noise will play an important part in controlling the spread of the disease.

Suggested Citation

  • Zhongwei Cao & Shengjuan Zhou, 2018. "Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-13, March.
    • Handle: RePEc:hin:jnddns:3693428
    DOI: 10.1155/2018/3693428
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    Cited by:

    1. M, Pitchaimani & M, Brasanna Devi, 2021. "Stochastic dynamical probes in a triple delayed SICR model with general incidence rate and immunization strategies," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Zhang, Ge & Li, Zhiming & Din, Anwarud, 2022. "A stochastic SIQR epidemic model with Lévy jumps and three-time delays," Applied Mathematics and Computation, Elsevier, vol. 431(C).

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