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A contact-network-based formulation of a preferential mixing model

journal contribution
posted on 2023-06-07, 22:07 authored by Istvan Kiss, Péter L Simon, Rowland R Kao
Heterogeneity in the number of potentially infectious contacts and connectivity correlations ("like attaches to like", i.e., assortatively mixed or "opposites attract", i.e., disassortatively mixed) have important implications for the value of the basic reproduction ratio R (0) and final epidemic size. In this paper, we present a contact-network-based derivation of a simple differential equation model that accounts for preferential mixing based on the number of contacts. We show that results based on this model are in good qualitative agreement with results obtained from preferential mixing models used in the context of sexually transmitted diseases (STDs). This simple model can accommodate any mixing pattern ranging from completely disassortative to completely assortative and allows the derivation of a series of analytical results

History

Publication status

  • Published

Journal

Bulletin of Mathematical Biology

ISSN

0092-8240

Issue

4

Volume

71

Page range

888-905

Pages

18.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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