论文标题
异质网络中流行病的传播和平衡社会距离
Epidemic Spreading and Equilibrium Social Distancing in Heterogeneous Networks
论文作者
论文摘要
我们研究了通过网络相互作用的异质种群中的多类SIR流行过程。当我们将社交接触以给定顶点度的随机图为基础时，我们就受到感染个体的比例给出了限制定理。对于给定的社会疏远个人策略，我们建立了流行病的$ r_0 $，可用于识别网络脆弱性并为疫苗接种政策提供信息。在本文的第二部分中，我们研究了社会疏远游戏的平衡，在该游戏中，个人根据预期的全球感染率选择自己的社会距离水平，然后在选择后必须等于实际感染率。我们给出了平衡的存在和独特性的条件。对于随机的常规图，我们表明自愿社会距离将永远是社会上最佳的。
We study a multi-type SIR epidemic process among a heterogeneous population that interacts through a network. When we base social contact on a random graph with given vertex degrees, we give limit theorems on the fraction of infected individuals. For a given social distancing individual strategies, we establish the epidemic reproduction number $R_0$ which can be used to identify network vulnerability and inform vaccination policies. In the second part of the paper we study the equilibrium of the social distancing game, in which individuals choose their social distancing level according to an anticipated global infection rate, which then must equal the actual infection rate following their choices. We give conditions for the existence and uniqueness of equilibrium. For the case of random regular graphs, we show that voluntary social distancing will always be socially sub-optimal.
