论文标题
永久居民种群在两局的SIR模型中的作用
The role of permanently resident populations in the two-patches SIR model with commuters
论文作者
论文摘要
我们考虑了一个两局的SIR模型，在该模型中通过通勤者进行交流，将明确永久居民的人群与通勤者人口区分开来。我们给出了繁殖编号的明确公式，并展示了永久居民人群的比例如何影响它。我们表现出非直觉的情况，这些情况允许从安全区域通勤到另一个情况，在此情况下，传输速率更高可以降低总体流行阈值并避免爆发。
We consider a two-patches SIR model where communication occurs thru commuters, distinguishing explicitly permanently resident populations from commuters populations. We give an explicit formula of the reproduction number, and show how the proportions of permanently resident populations impact it. We exhibit non-intuitive situations for which allowing commuting from a safe territory to another one where the transmission rate is higher can reduce the overall epidemic threshold and avoid an outbreak.
