THE EFFECT OF HOST POPULATION HETEROGENEITY ON EPIDEMIC OUTBREAKS

被引：2

作者：

Bootsma, M. C. J. ^{[1
,2
]}

Chan, K. M. D. ^{[3
,4
]}

Diekmann, O. ^{[1
]}

Inaba, H. ^{[5
]}

机构：

[1] Univ Utrecht, Fac Sci, Dept Math, Utrecht, South Africa

[2] Univ Utrecht, Univ Med Ctr Utrecht, Julius Ctr Hlth Sci & Primary Care, Utrecht, Netherlands

[3] Univ Amsterdam, Korteweg de Vries Inst, Amsterdam, Netherlands

[4] Transtrend Bv, Rotterdam, Netherlands

[5] Tokyo Gakugei Univ, Fac Educ, Koganei, Tokyo, Japan

来源：

MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING | 2024年 / 5卷 / 01期

关键词：

Kermack-McKendrick; epidemic outbreak model; static heterogeneity; final size; contact structures; herd immunity threshold; A-PRIORI PATHOMETRY; FINAL SIZE; RENEWAL THEOREMS; MODELS; BEHAVIOR; SPREAD; PROBABILITIES; EQUATIONS; KERMACK; IMPACT;

D O I：

10.5206/mase/16718

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the first part of this paper, we review old and new results about the influence of host population heterogeneity on (various characteristics of) epidemic outbreaks. In the second part we highlight a modelling issue that so far has received little attention: how do contact patterns, and hence transmission opportunities, depend on the size and the composition of the host population? Without any claim on completeness, we offer a range of potential (quasi-mechanistic) submodels. The overall aim of the paper is to describe the state-of-the-art and to catalyse new work.

引用

页码：1 / 35

页数：35

共 81 条

[21] Diekmann O., 2007, Functional Analysis and Evolution Equations, P187, DOI [10.1007/978-3-7643-7794-6_12, DOI 10.1007/978-3-7643-7794-6_12]
[22] Diekmann O., 2013, MATH TOOLS UNDERSTAN
[23] Stability and bifurcation analysis of volterra functional equations in the light of suns and stars
Diekmann, Odo
Getto, Philipp
Gyllenberg, Mats
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 39 (04) : 1023 - 1069
[24] A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models
Diekmann, Odo
Inaba, Hisashi
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2023, 86 (02)
[25] The discrete-time Kermack-McKendrick model: A versatile and computationally attractive framework for modeling epidemics
Diekmann, Odo
Othmer, Hans G.
Planque, Robert
Bootsma, Martin C. J.
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2021, 118 (39)
[26] Finite Dimensional State Representation of Linear and Nonlinear Delay Systems
Diekmann, Odo
Gyllenberg, Mats
Metz, J. A. J.
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (04) : 1439 - 1467
[27] Equations with infinite delay: Blending the abstract and the concrete
Diekmann, Odo
Gyllenberg, Mats
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (02) : 819 - 851
[28] To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic
Eikenberry, Steffen E.
Mancuso, Marina
Iboi, Enahoro
Phan, Tin
Eikenberry, Keenan
Kuang, Yang
Kostelich, Eric
Gumel, Abba B.
[J]. INFECTIOUS DISEASE MODELLING, 2020, 5 : 293 - 308
[29] Modelling physiologically structured populations: renewal equations and partial differential equations
Franco, Eugenia
Diekmann, Odo
Gyllenberg, Mats
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2023, 23 (03)
[30] Modelling the influence of human behaviour on the spread of infectious diseases: a review
Funk, Sebastian
Salathe, Marcel
Jansen, Vincent A. A.
[J]. JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2010, 7 (50) : 1247 - 1256

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