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The epidemic spreading on the multi-relationships network

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  • Nian, Fuzhong
  • Yao, Shuanglong

Abstract

Different from traditional multi-community, the paper proposes a new multi-relationship network which is constructed to assess the effect of interlaced complex interpersonal relationships on the epidemic spreading process. Besides, an innovative MR-SIS epidemic model is proposed and analyzed in this paper. Empirically, we simulate MR-SIS spreading process on a multi-relationship network. The experiment results show that immunizing the nodes in overlapping sub-networks inhibits the epidemic spreading. Moreover, when considering the multi-relationship network structure and the above conclusion, this paper proposes a novel immunization to overcome the limitations of traditional immunization strategy, which has been proven a satisfying desirable performance on controlling disease transmission.

Suggested Citation

  • Nian, Fuzhong & Yao, Shuanglong, 2018. "The epidemic spreading on the multi-relationships network," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 866-873.
  • Handle: RePEc:eee:apmaco:v:339:y:2018:i:c:p:866-873
    DOI: 10.1016/j.amc.2018.07.030
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    References listed on IDEAS

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    1. Lee, Hyojung & Lee, Sunmi & Lee, Chang Hyeong, 2016. "Stochastic methods for epidemic models: An application to the 2009 H1N1 influenza outbreak in Korea," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 232-249.
    2. Cai, Yongli & Kang, Yun & Wang, Weiming, 2017. "A stochastic SIRS epidemic model with nonlinear incidence rate," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 221-240.
    3. Shang, Jiaxing & Liu, Lianchen & Li, Xin & Xie, Feng & Wu, Cheng, 2015. "Epidemic spreading on complex networks with overlapping and non-overlapping community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 171-182.
    4. Chen, Jiancong & Zhang, Huiling & Guan, Zhi-Hong & Li, Tao, 2012. "Epidemic spreading on networks with overlapping community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1848-1854.
    5. Greenhalgh, D. & Liang, Y. & Mao, X., 2016. "SDE SIS epidemic model with demographic stochasticity and varying population size," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 218-238.
    6. Du, Wen-Bo & Zhou, Xing-Lian & Lordan, Oriol & Wang, Zhen & Zhao, Chen & Zhu, Yan-Bo, 2016. "Analysis of the Chinese Airline Network as multi-layer networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 108-116.
    7. Song, Li-Peng & Zhang , Rong-Ping & Feng , Li-Ping & Shi, Qiong, 2017. "Pattern dynamics of a spatial epidemic model with time delay," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 390-399.
    8. Zhou, Jie & Liu, Zonghua, 2009. "Epidemic spreading in communities with mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1228-1236.
    9. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
    10. Fuzhong Nian & Tong Liu, 2014. "High-Risk Immunization Strategies for Multiethnic Regions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
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    Cited by:

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    3. Li, Shudong & Zhao, Dawei & Wu, Xiaobo & Tian, Zhihong & Li, Aiping & Wang, Zhen, 2020. "Functional immunization of networks based on message passing," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    4. Sun, Chengbin & Luo, Chao & Li, Junqiu, 2020. "Aspiration-based co-evolution of cooperation with resource allocation on interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).

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