Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
976693 | Physica A: Statistical Mechanics and its Applications | 2010 | 6 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Thomas E. Stone, Matthew M. Jones, Susan R. McKay,