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A deterministic epidemic model taking account of repeated contacts between the same individuals

被引：72
作者：
Diekmann, O
De Jong, MCM
Metz, JAJ
机构：
[1] Univ Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands
[2] DLO, ID, NL-8200 AB Lelystad, Netherlands
[3] Leiden Univ, EEW, Sect Theoret Biol, NL-2300 RA Leiden, Netherlands
来源：
JOURNAL OF APPLIED PROBABILITY | 1998年 / 35卷 / 02期
关键词：
contact structure; basic reproduction ratio; final size;
D O I：
10.1017/S0021900200015072
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We introduce a certain population contact structure and derive, in three different ways, the final size equation for a quite general superimposed epidemic process. The contact structure is characterized by the following two properties: (i) each individual contacts exactly k other individuals; (ii) these k acquaintances are a random sample of the (infinite) population.
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页码：448 / 462
页数：15
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