论文标题

流行模型作为单个动力学的​​缩放限制

Epidemic Models as Scaling Limits of Individual Dynamics

论文作者

Flandoli, Franco, Grotto, Francesco, Papini, Andrea, Ricci, Cristiano

论文摘要

个人之间的感染扩散是通过连续的时间马尔可夫链建模的,其中受试者相互作用取决于其在空间中的距离。然后,在相互作用的两个不同的尺度制度中,获得了众所周知的SIR模型和后者的非局部变体。

Infection spread among individuals is modelled with a continuous time Markov chain, in which subject interactions depend on their distance in space. The well known SIR model and non local variants of the latter are then obtained as large scale limits of the individual based model in two different scaling regimes of the interaction.

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