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Super compact pairwise model for SIS epidemic on heterogeneous networks

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journal contribution
posted on 2023-06-08, 22:13 authored by Péter L Simon, Istvan Kiss
In this paper we provide the derivation of a super compact pairwise model with only 4 equations in the context of describing susceptible-infected-susceptible (SIS) epidemic dynamics on heterogenous networks. The super compact model is based on a new closure relation that involves not only the average degree but also the second and third moments of the degree distribution. Its derivation uses an a priori approximation of the degree distribution of susceptible nodes in terms of the degree distribution of the network. The new closure gives excellent agreement with heterogeneous pairwise models that contain significantly more differential equations.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Complex Networks

ISSN

2051-1310

Publisher

Oxford University Press

Issue

2

Volume

4

Page range

187-200

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-08-27

First Open Access (FOA) Date

2017-06-23

First Compliant Deposit (FCD) Date

2015-08-26

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