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Global stability of an SIR model with two susceptible groups on complex networks

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  • Yuan, Xinpeng
  • Xue, Yakui
  • Liu, Maoxing

Abstract

In this paper, an SIR model with two susceptible groups is proposed and analyzed on complex networks, where contacts between human are treated as a scale-free social network. The basic reproduction number R0 is obtained, and it is established that the disease-free equilibrium is locally and globally asymptotically stable if R0≤1, otherwise disease-free equilibrium is unstable and there exists a unique endemic equilibrium, which is globally asymptotically stable. Finally, the numerical simulations verify our conclusions and some discussions of vaccination strategies are done to suggest that a promising way for the control of infectious diseases.

Suggested Citation

  • Yuan, Xinpeng & Xue, Yakui & Liu, Maoxing, 2014. "Global stability of an SIR model with two susceptible groups on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 42-50.
    • Handle: RePEc:eee:chsofr:v:59:y:2014:i:c:p:42-50
    DOI: 10.1016/j.chaos.2013.11.010
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    References listed on IDEAS

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    1. Guida, Michele & Maria, Funaro, 2007. "Topology of the Italian airport network: A scale-free small-world network with a fractal structure?," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 527-536.
    2. Yuan, Xinpeng & Xue, Yakui & Liu, Maoxing, 2013. "Analysis of an epidemic model with awareness programs by media on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 48(C), pages 1-11.
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    Cited by:

    1. Qiuyun Li & Fengna Wang, 2023. "An Epidemiological Model for Tuberculosis Considering Environmental Transmission and Reinfection," Mathematics, MDPI, vol. 11(11), pages 1-17, May.
    2. Wei, Xiaodan & Xu, Gaochao & Zhou, Wenshu, 2018. "Global stability of endemic equilibrium for a SIQRS epidemic model on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 203-214.
    3. Yuan, Xinpeng & Wang, Fang & Xue, Yakui & Liu, Maoxing, 2018. "Global stability of an SIR model with differential infectivity on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 443-456.

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