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Macroscopic description of complex adaptive networks coevolving with dynamic node states
Stockholm University, Faculty of Science, Stockholm Resilience Centre.
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Number of Authors: 5
2015 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 91, no 5, 052801Article in journal (Refereed) Published
Abstract [en]

In many real-world complex systems, the time evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here we study opinion formation and imitation on an adaptive complex network which is dependent on the individual dynamic state of each node and vice versa to model the coevolution of renewable resources with the dynamics of harvesting agents on a social network. The adaptive voter model is coupled to a set of identical logistic growth models and we mainly find that, in such systems, the rate of interactions between nodes as well as the adaptive rewiring probability are crucial parameters for controlling the sustainability of the system's equilibrium state. We derive a macroscopic description of the system in terms of ordinary differential equations which provides a general framework to model and quantify the influence of single node dynamics on the macroscopic state of the network. The thus obtained framework is applicable to many fields of study, such as epidemic spreading, opinion formation, or socioecological modeling.

Place, publisher, year, edition, pages
2015. Vol. 91, no 5, 052801
National Category
Physical Sciences Mathematics
URN: urn:nbn:se:su:diva-117777DOI: 10.1103/PhysRevE.91.052801ISI: 000354047500007OAI: diva2:817547
Available from: 2015-06-05 Created: 2015-06-01 Last updated: 2015-06-05Bibliographically approved

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Donges, Jonathan F.
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Stockholm Resilience Centre
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