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

O. Diekmann; M. C.M. De Jong; J.A.J. Metz

doi:10.1239/jap/1032192860

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

O. Diekmann^*, M. C.M. De Jong, J.A.J. Metz

^*Corresponding author for this work

Leiden University

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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.

Original language	English
Pages (from-to)	448-462
Number of pages	15
Journal	Journal of Applied Probability
Volume	35
Issue number	2
DOIs	https://doi.org/10.1239/jap/1032192860
Publication status	Published - 1998

Keywords

Basic reproduction ratio
Contact structure
Final size

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10.1239/jap/1032192860

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title = "A deterministic epidemic model taking account of repeated contacts between the same individuals",

abstract = "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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author = "O. Diekmann and {De Jong}, {M. C.M.} and J.A.J. Metz",

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AU - Metz, J.A.J.

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N2 - 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.

AB - 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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KW - Contact structure

KW - Final size

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DO - 10.1239/jap/1032192860

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SP - 448

EP - 462

JO - Journal of Applied Probability

JF - Journal of Applied Probability

IS - 2

ER -

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

Abstract

Keywords

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