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Threshold effects for two pathogens spreading on a network.

M E J Newman1

  • 1Department of Physics, University of Michigan, Ann Arbor, 48109-1040, USA.

Physical Review Letters
|October 4, 2005
PubMed
Summary
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Two diseases can spread in a population only at intermediate contact levels, above the epidemic threshold but below the coexistence threshold. This finding reveals a distinct topological phase transition in networked systems.

Area of Science:

  • Epidemiology
  • Network Science
  • Statistical Mechanics

Background:

  • Disease transmission occurs through contact networks.
  • Epidemic modeling often uses network percolation theory.
  • Understanding coinfection dynamics is crucial for public health.

Purpose of the Study:

  • Investigate the spread of two competing pathogens in a single host population.
  • Determine the conditions necessary for the coexistence of two diseases.
  • Explore the relationship between coinfection dynamics and network topology.

Main Methods:

  • Utilized bond percolation theory on networks to model disease spread.
  • Analyzed the conditions for simultaneous transmission of two pathogens.
  • Identified epidemic and coexistence thresholds based on bond occupation probability.

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Main Results:

  • Two pathogens can coexist only within a specific range of bond occupation probability.
  • This range lies between the classic epidemic threshold and a higher coexistence threshold.
  • The coexistence threshold signifies a distinct topological phase transition in the network.

Conclusions:

  • Coinfection dynamics are sensitive to network structure and contact rates.
  • Intermediate contact probabilities are required for two diseases to spread simultaneously.
  • Network topology plays a critical role in determining the outcome of competing epidemics.