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Epidemic spreading through direct and indirect interactions.

Niloy Ganguly1, Tyll Krueger2, Animesh Mukherjee1

  • 1Department of Computer Science and Engineering, Indian Institute of Technology, Kharagpur 721302, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2014
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Summary
This summary is machine-generated.

This study models epidemic spread in susceptible-infected-susceptible (SIS) dynamics, analyzing how selecting popular locations (passive entities) impacts disease transmission. Increased diversity in location selection lowers epidemic thresholds, influencing spread dynamics.

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Area of Science:

  • Epidemiology
  • Mathematical Modeling
  • Network Science

Background:

  • Susceptible-Infected-Susceptible (SIS) models are fundamental to understanding epidemic dynamics.
  • Real-world epidemic spread is influenced by agent behavior and the structure of contact networks, including popular locations.
  • The role of selection strategies for these popular locations in epidemic dynamics remains an area for detailed investigation.

Purpose of the Study:

  • To develop a mathematical framework for analyzing epidemic spread in a setting with active and passive entities.
  • To investigate the impact of different selection strategies for passive entities on epidemic dynamics.
  • To derive formulas for key epidemic metrics like prevalence, extinction probability, and epidemic thresholds for both direct and indirect spreading.

Main Methods:

  • Development of a generalized mathematical framework to model SIS dynamics with active and passive entities.
  • Derivation of analytical formulas for prevalence, extinction probabilities, and epidemic thresholds.
  • Specific analysis of preferential selection strategies and their impact on epidemic parameters.
  • Comparative analysis of direct and indirect spreading mechanisms.

Main Results:

  • A simple relationship between extinction probability and prevalence was identified.
  • Increased diversity in the selection process for passive entities was shown to lower epidemic thresholds.
  • Exact formulas for preferential selection strategies were derived.
  • Regions in the parameter space were identified where indirect spreading exhibits higher prevalence than direct spreading.

Conclusions:

  • The selection strategy for popular locations significantly influences epidemic thresholds and overall spread.
  • Diverse selection processes can mitigate epidemic spread by lowering thresholds.
  • The interplay between direct and indirect spreading mechanisms depends on specific parameter regimes, with indirect spread being dominant in certain conditions.