Multiple resource demands and viability in multiplex networks

Byungjoon Min, Kwang-Il Goh

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Many complex systems demand manifold resources to be supplied from distinct channels to function properly, e.g., water, gas, and electricity for a city. Here, we study a model for viability of such systems demanding more than one type of vital resource be produced and distributed by resource nodes in multiplex networks. We found a rich variety of behaviors such as discontinuity, bistability, and hysteresis in the fraction of viable nodes with respect to the density of networks and the fraction of resource nodes. Our result suggests that viability in multiplex networks is not only exposed to the risk of abrupt collapse but also suffers excessive complication in recovery.

Original languageEnglish
Article number040802
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number4
DOIs
Publication statusPublished - 2014 Apr 30

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Viability
viability
resources
Resources
Vertex of a graph
Bistability
electricity
Complications
Electricity
complex systems
Hysteresis
Discontinuity
Complex Systems
discontinuity
Recovery
recovery
hysteresis
Distinct
Water
gases

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Multiple resource demands and viability in multiplex networks. / Min, Byungjoon; Goh, Kwang-Il.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 89, No. 4, 040802, 30.04.2014.

Research output: Contribution to journalArticle

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