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

机译:在动态的小世界网络上传播疾病的避免和接种疫苗的比较效果

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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 susceptibleinfectedrecovered (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.
机译:动态的小世界联系网络具有固定的短距离链接和时变的随机长距离链接。它们被用来为移动人口建模或作为传统小世界网络的最小模型。在这里,我们研究了在动态小世界网络上的易感感染恢复(SIR)流行模型中接种疫苗和避免感染个体的相对影响。我们根据疾病的传染性,恢复率,避免率和疫苗接种率得出爆发爆发所需的关键流动性。我们还导出了一个表达式,该表达式使我们能够计算出预防流行所需的疫苗接种量和/或避免量。计算数量显示与仿真极佳的一致性。

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