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Dynamics of a stochastic SIQR epidemic model with standard incidence

Author

Listed:
  • Cao, Zhongwei
  • Feng, Wei
  • Wen, Xiangdan
  • Zu, Li
  • Cheng, Ming

Abstract

In this paper, a stochastic SIQR epidemic model with quarantine and standard incidence is investigated. We first consider the existence and uniqueness of the global positive solution to the stochastic system. Further, we obtain conclusions that the large noise can make the disease die out exponentially, and the stationary distribution will exist under certain conditions.

Suggested Citation

  • Cao, Zhongwei & Feng, Wei & Wen, Xiangdan & Zu, Li & Cheng, Ming, 2019. "Dynamics of a stochastic SIQR epidemic model with standard incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    • Handle: RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307113
    DOI: 10.1016/j.physa.2019.121180
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    Citations

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    Cited by:

    1. Utsumi, Shinobu & Arefin, Md. Rajib & Tatsukawa, Yuichi & Tanimoto, Jun, 2022. "How and to what extent does the anti-social behavior of violating self-quarantine measures increase the spread of disease?," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. 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).
    3. Ahmed, Nauman & Raza, Ali & Rafiq, Muhammad & Ahmadian, Ali & Batool, Namra & Salahshour, Soheil, 2021. "Numerical and bifurcation analysis of SIQR model," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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