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Transmission dynamics, global stability and control strategies of a modified SIS epidemic model on complex networks with an infective medium

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  • Xie, Yingkang
  • Wang, Zhen

Abstract

In this paper, a new SIS (susceptible–infected–susceptible) epidemic model on complex networks with an infective medium is proposed. The infection rate is modified by applying the theory of probability. By using mean-field approximation, iterative analysis method and mathematical analysis, the epidemic threshold, stabilities of the disease-free equilibrium and the endemic equilibrium are studied. Moreover, some disease control strategies are proposed. The results show that the epidemic threshold plays an important role in the spread of disease. Finally, the theoretical results are confirmed by some simple numerical examples.

Suggested Citation

  • Xie, Yingkang & Wang, Zhen, 2021. "Transmission dynamics, global stability and control strategies of a modified SIS epidemic model on complex networks with an infective medium," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 23-34.
    • Handle: RePEc:eee:matcom:v:188:y:2021:i:c:p:23-34
    DOI: 10.1016/j.matcom.2021.03.029
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    References listed on IDEAS

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    1. Yang, Meng & Chen, Guanrong & Fu, Xinchu, 2011. "A modified SIS model with an infective medium on complex networks and its global stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2408-2413.
    2. Wang, Zhishuang & Guo, Quantong & Sun, Shiwen & Xia, Chengyi, 2019. "The impact of awareness diffusion on SIR-like epidemics in multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 134-147.
    3. Shi, Hongjing & Duan, Zhisheng & Chen, Guanrong, 2008. "An SIS model with infective medium on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2133-2144.
    4. Juang, Jonq & Liang, Yu-Hao, 2015. "Analysis of a general SIS model with infective vectors on the complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 382-395.
    5. Xie, Yingkang & Wang, Zhen & Lu, Junwei & Li, Yuxia, 2020. "Stability analysis and control strategies for a new SIS epidemic model in heterogeneous networks," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    6. Li, Li & Zhang, Jie & Liu, Chen & Zhang, Hong-Tao & Wang, Yi & Wang, Zhen, 2019. "Analysis of transmission dynamics for Zika virus on networks," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 566-577.
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    Citations

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    Cited by:

    1. Prem Kumar, R. & Santra, P.K. & Mahapatra, G.S., 2023. "Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 741-766.
    2. Chen, Naixi & Fan, Hong, 2023. "Credit risk contagion and optimal dual control—An SIS/R model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 448-472.

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