论文标题
隔离的动力多夫人测试
Dynamical Dorfman Testing with Quarantine
论文作者
论文摘要
我们考虑具有社区结构的动态小组测试问题。使用离散的SIR SIR（易感性，感染性，回收）模型，我们使用Dorfman的两步组测试方法来识别感染，并在必要时介入以抑制通过隔离的抑制感染扩散。我们分析了隔离和测试成本之间的权衡以及疾病传播。对于特殊的动力学I.I.D.模型，我们表明，最佳的第一阶段Dorfman组大小在动态和静态情况下有所不同。我们将提出的动态两阶段Dorfman测试的性能与动态设置中的最新非自适应组测试方法进行了比较。
We consider dynamical group testing problem with a community structure. With a discrete-time SIR (susceptible, infectious, recovered) model, we use Dorfman's two-step group testing approach to identify infections, and step in whenever necessary to inhibit infection spread via quarantines. We analyze the trade-off between quarantine and test costs as well as disease spread. For the special dynamical i.i.d. model, we show that the optimal first stage Dorfman group size differs in dynamic and static cases. We compare the performance of the proposed dynamic two-stage Dorfman testing with state-of-the-art non-adaptive group testing method in dynamic settings.
