A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models

Odo Diekmann; Hisashi Inaba

doi:10.1007/s00285-023-01865-0

A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models

Odo Diekmann^*, Hisashi Inaba

^*Corresponding author for this work

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

Abstract

In this paper, we show how to modify a compartmental epidemic model, without changing the dimension, such that separable static heterogeneity is taken into account. The derivation is based on the Kermack-McKendrick renewal equation.

Original language	English
Article number	29
Pages (from-to)	1-19
Journal	Journal of Mathematical Biology
Volume	86
Issue number	2
DOIs	https://doi.org/10.1007/s00285-023-01865-0
Publication status	Published - Feb 2023

Bibliographical note

Funding Information:
We thank Toshikazu Kuniya for his technical assistance with the production of this manuscript, and we also thank a referee for both constructive criticism and calling our attention to some relevant references that we had missed.

Publisher Copyright:
© 2023, The Author(s).

Keywords

Compartment model
Heterogeneity
Kermack–McKendrick model

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s00285-023-01865-0Final published version, 400 KBLicence: CC BY

Cite this

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abstract = "In this paper, we show how to modify a compartmental epidemic model, without changing the dimension, such that separable static heterogeneity is taken into account. The derivation is based on the Kermack-McKendrick renewal equation.",

keywords = "Compartment model, Heterogeneity, Kermack–McKendrick model",

author = "Odo Diekmann and Hisashi Inaba",

note = "Funding Information: We thank Toshikazu Kuniya for his technical assistance with the production of this manuscript, and we also thank a referee for both constructive criticism and calling our attention to some relevant references that we had missed. Publisher Copyright: {\textcopyright} 2023, The Author(s).",

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AU - Inaba, Hisashi

N1 - Funding Information: We thank Toshikazu Kuniya for his technical assistance with the production of this manuscript, and we also thank a referee for both constructive criticism and calling our attention to some relevant references that we had missed. Publisher Copyright: © 2023, The Author(s).

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N2 - In this paper, we show how to modify a compartmental epidemic model, without changing the dimension, such that separable static heterogeneity is taken into account. The derivation is based on the Kermack-McKendrick renewal equation.

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KW - Heterogeneity

KW - Kermack–McKendrick model

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A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models

Abstract

Bibliographical note

Keywords

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