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Comparative effects of avoidance and vaccination in disease spread on a dynamic small-world network

Author

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  • Stone, Thomas E.
  • Jones, Matthew M.
  • McKay, Susan R.

Abstract

Dynamic small-world contact networks have fixed short range links and time-varying stochastic long range links. They are used to model mobile populations or as minimal models for traditional small-world networks. Here we study the relative effects of vaccinations and avoidance of infected individuals in a susceptible–infected–recovered (SIR) epidemic model on a dynamic small-world network. We derive the critical mobility required for an outbreak to occur as a function of the disease’s infectivity, recovery rate, avoidance rate, and vaccination rate. We also derive an expression that allows us to calculate the amount of vaccination and/or avoidance necessary to prevent an epidemic. Calculated quantities show excellent agreement with simulations.

Suggested Citation

  • Stone, Thomas E. & Jones, Matthew M. & McKay, Susan R., 2010. "Comparative effects of avoidance and vaccination in disease spread on a dynamic small-world network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5515-5520.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:23:p:5515-5520
    DOI: 10.1016/j.physa.2010.07.036
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