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Stochastic dynamics of an SIS epidemiological model with media coverage

Author

Listed:
  • Tan, Yiping
  • Cai, Yongli
  • Wang, Xiaoqin
  • Peng, Zhihang
  • Wang, Kai
  • Yao, Ruoxia
  • Wang, Weiming

Abstract

In this paper, we establish a stochastic SIS epidemic model with general transmission function and media coverage, and prove that two thresholds R1s and R2s (R2s1, the disease is persistent almost surely and there exists a unique stationary distribution. Furthermore, we study the disease dynamics when R2s<1

Suggested Citation

  • Tan, Yiping & Cai, Yongli & Wang, Xiaoqin & Peng, Zhihang & Wang, Kai & Yao, Ruoxia & Wang, Weiming, 2023. "Stochastic dynamics of an SIS epidemiological model with media coverage," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 1-27.
    • Handle: RePEc:eee:matcom:v:204:y:2023:i:c:p:1-27
    DOI: 10.1016/j.matcom.2022.08.001
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    References listed on IDEAS

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    1. Barczy, Mátyás & Pap, Gyula, 2006. "Portmanteau theorem for unbounded measures," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1831-1835, November.
    2. El Fatini, Mohamed & Lahrouz, Aadil & Pettersson, Roger & Settati, Adel & Taki, Regragui, 2018. "Stochastic stability and instability of an epidemic model with relapse," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 326-341.
    3. Guo, Wenjuan & Cai, Yongli & Zhang, Qimin & Wang, Weiming, 2018. "Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2220-2236.
    4. Zhang, Yan & Fan, Kuangang & Gao, Shujing & Liu, Yingfen & Chen, Shihua, 2019. "Ergodic stationary distribution of a stochastic SIRS epidemic model incorporating media coverage and saturated incidence rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 671-685.
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    Cited by:

    1. Hui Chen & Xuewen Tan & Jun Wang & Wenjie Qin & Wenhui Luo, 2023. "Stochastic Dynamics of a Virus Variant Epidemic Model with Double Inoculations," Mathematics, MDPI, vol. 11(7), pages 1-29, April.

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