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

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

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 23, 5515-5520

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.

Keywords: Dynamic small-world networks; Epidemiology; Vaccinations; Disease dynamics (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:23:p:5515-5520

DOI: 10.1016/j.physa.2010.07.036

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