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Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate

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  • Fu, Xinjie
  • Wang, JinRong

Abstract

We construct an SVIQR epidemic model with saturation incidence rate based on complex network and prove the global asymptotic stability of equilibrium. For controlling the spread of the epidemic, we design a non-periodic intermittent stochastic control for the model, and use the stochastic theories such as Chebyshev’s inequality and Itô’s formula, to obtain the condition that the model is almost necessarily stable. Finally, through numerical simulation, we show that the stochastic control can effectively reduce the densities of the infected nodes.

Suggested Citation

  • Fu, Xinjie & Wang, JinRong, 2025. "Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006848
    DOI: 10.1016/j.chaos.2025.116671
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    References listed on IDEAS

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    1. Zhang, Tailei & Teng, Zhidong, 2008. "Global asymptotic stability of a delayed SEIRS epidemic model with saturation incidence," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1456-1468.
    2. Cheng, Xinxin & Wang, Yi & Huang, Gang, 2021. "Global dynamics of a network-based SIQS epidemic model with nonmonotone incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    3. Fu, Xinjie & Wang, JinRong, 2022. "Dynamic stability and optimal control of SISqIqRS epidemic network," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Peng, Shige, 2008. "Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation," Stochastic Processes and their Applications, Elsevier, vol. 118(12), pages 2223-2253, December.
    5. Liu, Li & Luo, Xiaofeng & Chang, Lili, 2017. "Vaccination strategies of an SIR pair approximation model with demographics on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 282-290.
    6. Sylvain Gandon & Margaret J. Mackinnon & Sean Nee & Andrew F. Read, 2001. "Imperfect vaccines and the evolution of pathogen virulence," Nature, Nature, vol. 414(6865), pages 751-756, December.
    7. Hu, Xin & Wang, Zhishuang & Sun, Qingyi & Chen, Jiaxing & Zhao, Dawei & Xia, Chengyi, 2024. "Coupled propagation between one communicable disease and related two types of information on multiplex networks with simplicial complexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    8. Okita, Kouki & Tatsukawa, Yuichi & Utsumi, Shinobu & Arefin, Md. Rajib & Hossain, Md. Anowar & Tanimoto, Jun, 2023. "Stochastic resonance effect observed in a vaccination game with effectiveness framework obeying the SIR process on a scale-free network," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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