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Multiple resource demands and viability in multiplex networks.

Byungjoon Min1, K-I Goh1

  • 1Department of Physics, Korea University, Seoul 136-713, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 16, 2014
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Summary
This summary is machine-generated.

Complex systems with multiple essential resources face viability challenges in multiplex networks. Recovery from disruptions is complicated by risks of abrupt collapse and hysteresis.

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Area of Science:

  • Complex systems science
  • Network science
  • Resource management

Background:

  • Complex systems require multiple resources (e.g., water, gas, electricity).
  • Resource provision often occurs through distinct channels in networks.
  • Understanding system viability under resource constraints is crucial.

Purpose of the Study:

  • To model the viability of complex systems in multiplex networks.
  • To investigate systems requiring multiple vital resources from distinct channels.
  • To analyze the impact of network density and resource node fraction on system viability.

Main Methods:

  • Development of a theoretical model for resource distribution in multiplex networks.
  • Analysis of system behavior as a function of network density and resource node fraction.
  • Identification of critical thresholds and emergent phenomena.

Main Results:

  • Observed rich dynamical behaviors including discontinuity, bistability, and hysteresis.
  • Fraction of viable nodes exhibits complex dependencies on network density and resource node fraction.
  • System viability is sensitive to the interplay between network structure and resource distribution.

Conclusions:

  • Multiplex networks with multiple resource demands exhibit complex viability dynamics.
  • Systems are susceptible to abrupt viability loss and challenging recovery processes.
  • Findings highlight the critical importance of robust resource management in complex networked systems.