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Emergence of epidemics in rapidly varying networks

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  • Kohar, Vivek
  • Sinha, Sudeshna

Abstract

We describe a simple model mimicking disease spreading on a network with dynamically varying connections, and investigate the dynamical consequences of switching links in the network. Our central observation is that the disease cycles get more synchronized, indicating the onset of epidemics, as the underlying network changes more rapidly. This behavior is found for periodically switched links, as well as links that switch randomly in time. We find that the influence of changing links is more pronounced in networks where the nodes have lower degree, and the disease cycle has a longer infective stage. Further, when the switching of links is periodic we observe finer dynamical features, such as beating patterns in the emergent oscillations and resonant enhancement of synchronization, arising from the interplay between the time-scales of the connectivity changes and that of the epidemic outbreaks.

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  • Kohar, Vivek & Sinha, Sudeshna, 2013. "Emergence of epidemics in rapidly varying networks," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 127-134.
    • Handle: RePEc:eee:chsofr:v:54:y:2013:i:c:p:127-134
    DOI: 10.1016/j.chaos.2013.07.003
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    Cited by:

    1. Roy, Anupama & Sinha, Sudeshna, 2024. "Impact of random links on neuronal extreme events," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Claudio J. Tessone, "undated". "Collective behaviour induced by network volatility," Working Papers ETH-RC-14-010, ETH Zurich, Chair of Systems Design.
    3. Ling, Xiang & Liu, Qing-Yang & Hua, Xia & Zhu, Kong-Jin & Guo, Ning & Chen, Jia-Jia, 2023. "The spatial group and cyclic oscillations caused by the power correlation between the moving direction and the phase of a moving oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    4. Nag, Mayurakshi & Poria, Swarup, 2016. "Synchronization in a network of delay coupled maps with stochastically switching topologies," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 9-16.
    5. Moitra, Promit & Sen, Abhijit, 2022. "Impact of local timescales in a cellular automata model of excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    6. Chaurasia, Sudhanshu Shekhar & Choudhary, Anshul & Shrimali, Manish Dev & Sinha, Sudeshna, 2019. "Suppression and revival of oscillations through time-varying interaction," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 249-254.

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