We present an epidemic model capable of describing key features of the Covid-19 pandemic. While capturing several qualitative properties of the virus spreading, it allows to compute the basic reproduction number, the number of deaths due to the virus and various other statistics. Numerical integrations are used to illustrate the adherence of the evolutions described by the model to specific well known real features of the present pandemic. In particular, this model is consistent with the well known relevance of quarantine, shows the dramatic role of care houses and accounts for the increase in the death toll when spatial movements are not constrained.

中文翻译：

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描述 Covid-19 大流行的年龄和空间结构 SIR 模型。


我们提出了一种能够描述 Covid-19 大流行的主要特征的流行病模型。在捕获病毒传播的几个定性特征的同时，它还可以计算基本繁殖数、病毒导致的死亡人数以及各种其他统计数据。数值积分用于说明模型描述的演变与当前大流行的特定众所周知的真实特征的一致性。特别是，该模型与众所周知的隔离相关性一致，显示了护理院的巨大作用，并解释了当空间移动不受限制时死亡人数的增加。