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Epidemic spread in networks: existing methods and current challenges

journal contribution
posted on 2023-06-08, 22:50 authored by J C Miller, Istvan Kiss
We consider the spread of infectious disease through contact networks of Configuration Model type. We assume that the disease spreads through contacts and infected individuals recover into an immune state. We discuss a number of existing mathematical models used to investigate this system, and show relations between the underlying assumptions of the models. In the process we offer simplifications of some of the existing models. The distinctions between the underlying assumptions are subtle, and in many if not most cases this subtlety is irrelevant. Indeed, under appropriate conditions the models are equivalent. We compare the benefits and disadvantages of the different models, and discuss their application to other populations (e.g., clustered networks). Finally we discuss ongoing challenges for network-based epidemic modeling.

History

Publication status

  • Published

Journal

Mathematical Modelling of Natural Phenomena

ISSN

0973-5348

Publisher

EDP Sciences

Issue

2

Volume

9

Page range

4-42

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2015-10-20

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