离散时间下一般流行病的一个阈值定理。

A threshold theorem for the general epidemic in discrete time.

作者信息

de Hoog F, Gani J, Gates D J

出版信息

J Math Biol. 1979 Sep 1;8(2):113-21. doi: 10.1007/BF00279715.

Abstract

A theorem, analogous to the continuous time Threshold Theorem of Kermack and McKendrick, is proved for a certain discrete time epidemic model. This model, in contrast to its continuous time analogue, leads to some solutions in which the total population of susceptibles may become infected in a finite time.

摘要

针对某离散时间流行病模型，证明了一个与Kermack和McKendrick的连续时间阈值定理类似的定理。与连续时间类似模型不同的是，该模型会产生一些解，在这些解中，易感人群的总数可能在有限时间内全部被感染。