Temporal inactivation enhances robustness in an evolving system

Fumiko Ogushi*, János Kertész, Kimmo Kaski, Takashi Shimada

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
134 Downloads (Pure)


We study the robustness of an evolving system that is driven by successive inclusions of new elements or constituents with m random interactions to older ones. Each constitutive element in the model stays either active or is temporarily inactivated depending upon the influence of the other active elements. If the time spent by an element in the inactivated state reaches T W , it gets extinct. The phase diagram of this dynamic model as a function of m and T W is investigated by numerical and analytical methods and as a result both growing (robust) as well as non-growing (volatile) phases are identified. It is also found that larger time limit T W enhances the system's robustness against the inclusion of new elements, mainly due to the system's increased ability to reject 'falling-together' type attacks. Our results suggest that the ability of an element to survive in an unfavourable situation for a while, either as a minority or in a dormant state, could improve the robustness of the entire system.

Original languageEnglish
Article number181471
Pages (from-to)1-12
Number of pages12
JournalRoyal Society Open Science
Issue number2
Publication statusPublished - 1 Feb 2019
MoE publication typeA1 Journal article-refereed


  • Dormancy
  • Evolutionary dynamics
  • Extinctions
  • Network models
  • Robustness


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