Print Email Facebook Twitter Moment closure approximations of susceptible-infected-susceptible epidemics on adaptive networks Title Moment closure approximations of susceptible-infected-susceptible epidemics on adaptive networks Author Achterberg, M.A. (TU Delft Network Architectures and Services) Van Mieghem, P.F.A. (TU Delft Network Architectures and Services) Date 2022 Abstract The influence of people's individual responses to the spread of contagious phenomena, like the COVID-19 pandemic, is still not well understood. We investigate the Markovian Generalized Adaptive Susceptible-Infected-Susceptible (G-ASIS) epidemic model. The G-ASIS model comprises many contagious phenomena on networks, ranging from epidemics and information diffusion to innovation spread and human brain interactions. The connections between nodes in the G-ASIS model change adaptively over time, because nodes make decisions to create or break links based on the health state of their neighbors. Our contribution is fourfold. First, we rigorously derive the first-order and second-order mean-field approximations from the continuous-time Markov chain. Second, we illustrate that the first-order mean-field approximation fails to approximate the epidemic threshold of the Markovian G-ASIS model accurately. Third, we show that the second-order mean-field approximation is a qualitative good approximation of the Markovian G-ASIS model. Finally, we discuss the Adaptive Information Diffusion (AID) model in detail, which is contained in the G-ASIS model. We show that, similar to most other instances of the G-ASIS model, the AID model possesses a unique steady state, but that in the AID model, the convergence time toward the steady state is very large. Our theoretical results are supported by numerical simulations. To reference this document use: http://resolver.tudelft.nl/uuid:a04254a7-36c2-4b9f-a094-dac97f46b1b1 DOI https://doi.org/10.1103/PhysRevE.106.014308 Embargo date 2023-07-01 ISSN 2470-0045 Source Physical Review E, 106 (1), 014308-1 - 014308-21 Bibliographical note Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2022 M.A. Achterberg, P.F.A. Van Mieghem Files PDF PhysRevE.106.014308.pdf 3.11 MB Close viewer /islandora/object/uuid:a04254a7-36c2-4b9f-a094-dac97f46b1b1/datastream/OBJ/view