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Hybrid resource allocation and its impact on the dynamics of disease spreading

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  • Chen, Xiao-Long
  • Wang, Rui-Jie
  • Yang, Chun
  • Cai, Shi-Min

Abstract

Efficient utilization of limited resources is crucial in controlling disease outbreaks. Usually, in the process of disease control, medical resources are either controlled globally by the government or allocated locally among individuals. Here, to explore systematically which of the two strategies is more efficient in suppressing the outbreaks of disease, a hybrid strategy is proposed, in which, a tunable parameter is introduced to tune the preference of global and local resource allocation. By studying the interplay between the resource allocation and disease spreading based on a generalized susceptible–infected–susceptible (SIS) model, we show that the global resource allocation has more advantages in controlling disease than local allocation. Besides, the hybrid resource allocation has significant influence on the dynamics of disease spreading. There is first order phase transition of the final infected fraction of nodes on homogeneous networks, however, the transition type changes from hybrid transitions to first order transition at a critical value of the tunable parameter on heterogeneous networks. When considering the initial conditions, hysteresis loops appear on both homogeneous and heterogeneous networks. Using mean-field approximation and a generalized dynamical message passing (GDMP) approach, we calculate exactly the fraction of infected nodes at the steady state, as well as the epidemic thresholds and the phase diagram of the disease on the homogeneous networks and heterogeneous networks respectively.

Suggested Citation

  • Chen, Xiao-Long & Wang, Rui-Jie & Yang, Chun & Cai, Shi-Min, 2019. "Hybrid resource allocation and its impact on the dynamics of disease spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 156-165.
  • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:156-165
    DOI: 10.1016/j.physa.2018.08.167
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    1. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    2. Mingwen Zheng & Lixiang Li & Haipeng Peng & Jinghua Xiao & Yixian Yang & Hui Zhao & Jingfeng Ren, 2016. "Finite-time synchronization of complex dynamical networks with multi-links via intermittent controls," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(2), pages 1-12, February.
    3. Yang, Han-Xin & Wang, Zhen, 2016. "Suppressing traffic-driven epidemic spreading by adaptive routing strategy," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 147-150.
    4. Zhan, Xiu-Xiu & Liu, Chuang & Zhou, Ge & Zhang, Zi-Ke & Sun, Gui-Quan & Zhu, Jonathan J.H. & Jin, Zhen, 2018. "Coupling dynamics of epidemic spreading and information diffusion on complex networks," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 437-448.
    5. Yang, Han-Xin & Tang, Ming & Wang, Zhen, 2018. "Suppressing epidemic spreading by risk-averse migration in dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 347-352.
    6. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    7. Zhang, Ruimei & Zeng, Deqiang & Zhong, Shouming & Yu, Yongbin, 2017. "Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 57-74.
    8. Zhang, Hai-Feng & Shu, Pan-Pan & Wang, Zhen & Tang, Ming & Small, Michael, 2017. "Preferential imitation can invalidate targeted subsidy policies on seasonal-influenza diseases," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 332-342.
    9. Chen, Xuan-Hao & Cai, Shi-Min & Wang, Wei & Tang, Ming & Stanley, H. Eugene, 2018. "Predicting epidemic threshold of correlated networks: A comparison of methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 500-511.
    10. Mingwen Zheng & Lixiang Li & Haipeng Peng & Jinghua Xiao & Yixian Yang & Hui Zhao & Jingfeng Ren, 2016. "Finite-time synchronization of complex dynamical networks with multi-links via intermittent controls," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(2), pages 1-12, February.
    11. Yang, Han-Xin & Wang, Bing-Hong, 2016. "Immunization of traffic-driven epidemic spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 86-90.
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    2. Zhu, Xuzhen & Wang, Ruijie & Wang, Zexun & Chen, Xiaolong & Wang, Wei & Cai, Shimin, 2019. "Double-edged sword effect of edge overlap on asymmetrically interacting spreading dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 617-624.
    3. You, Xuemei & Zhang, Man & Ma, Yinghong & Tan, Jipeng & Liu, Zhiyuan, 2023. "Impact of higher-order interactions and individual emotional heterogeneity on information-disease coupled dynamics in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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