Classification of link-breaking and link-creation updating rules in susceptible-infected-susceptible epidemics on adaptive networks

Journal Article (2020)
Author(s)

Massimo A. Achterberg (TU Delft - Network Architectures and Services)

Johan Dubbeldam (TU Delft - Mathematical Physics)

P. Van Mieghem (TU Delft - Network Architectures and Services)

Cornelis J. Stam (Amsterdam UMC)

Research Group
Network Architectures and Services
Copyright
© 2020 M.A. Achterberg, J.L.A. Dubbeldam, P.F.A. Van Mieghem, Cornelis J. Stam
DOI related publication
https://doi.org/10.1103/PhysRevE.101.052302
More Info
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Publication Year
2020
Language
English
Copyright
© 2020 M.A. Achterberg, J.L.A. Dubbeldam, P.F.A. Van Mieghem, Cornelis J. Stam
Research Group
Network Architectures and Services
Issue number
5
Volume number
101
Pages (from-to)
052302-1 - 052302-19
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Abstract

In the classical susceptible-infected-susceptible (SIS) model, a disease or infection spreads over a given, mostly fixed graph. However, in many real complex networks, the topology of the underlying graph can change due to the influence of the dynamical process. In this paper, besides the spreading process, the network adaptively changes its topology based on the states of the nodes in the network. An entire class of link-breaking and link-creation mechanisms, which we name Generalized Adaptive SIS (G-ASIS), is presented and analyzed. For each instance of G-ASIS using the complete graph as initial network, the relation between the epidemic threshold and the effective link-breaking rate is determined to be linear, constant, or unknown. Additionally, we show that there exist link-breaking and link-creation mechanisms for which the metastable state does not exist. We confirm our theoretical results with several numerical simulations.

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