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Random network rewiring accelerates contagion spread in noisy threshold models, contrary to previous findings. This discovery harmonizes network structure effects on contagion dynamics.

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Area of Science:

  • Network Science
  • Epidemiology
  • Sociology

Background:

  • Biological contagion models often show random rewiring accelerates spread.
  • Threshold-based contagions were previously thought to spread faster on clustered networks.

Purpose of the Study:

  • To investigate how network structure influences the spread of threshold-based contagions.
  • To reconcile conflicting findings on network rewiring and contagion dynamics.

Main Methods:

  • Analysis of spread rate on circular lattices with rewired edges.
  • Simulations on empirical networks with varying rewiring probabilities and adoption reversibility.

Main Results:

  • Minor modifications to threshold models reverse previous findings.
  • Random rewiring accelerates spread in noisy threshold contagions with low adoption probability.
  • Results hold for partial rewiring, reversible decisions, and high-dimensional lattices.

Conclusions:

  • Network structure's impact on contagion is model-dependent.
  • Noisy threshold models exhibit accelerated spread with random rewiring.
  • Findings harmonize understanding of network topology and contagion dynamics.