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  • For many epidemic networks some connections between nodes are treated as deterministic, while the remainder are random and have different connection probabilities. By applying spectral analysis to several constructed models, we find that one can estimate the epidemic thresholds of these networks by investigating information from only the deterministic connections. Nonetheless, in these models, generic nonuniform stochastic connections and heterogeneous community structure are also considered. The estimation of epidemic thresholds is achieved via inequalities with upper and lower bounds, which are found to be in very good agreement with numerical simulations. Since these deterministic connections are easier to detect than those stochastic connections, this work provides a feasible and effective method to estimate the epidemic thresholds in real epidemic networks.
subject
  • Epidemics
  • Causality
  • Biological hazards
  • Philosophy of science
  • Scientific modeling
  • Determinism
  • Metaphysical theories
  • Randomness
  • Academic organizations based in the United States
  • 1931 establishments in the United States
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