In many real-world complex systems, the time-evolution of the network'sstructure and the dynamic state of its nodes are closely entangled. Here, westudy opinion formation and imitation on an adaptive complex network which isdependent on the individual dynamic state of each node and vice versa to modelthe co-evolution of renewable resources with the dynamics of harvesting agentson a social network. The adaptive voter model is coupled to a set of identicallogistic growth models and we show that in such systems, the rate ofinteractions between nodes as well as the adaptive rewiring probability play acrucial role for the sustainability of the system's equilibrium state. Wederive a macroscopic description of the system which provides a generalframework to model and quantify the influence of single node dynamics on themacroscopic state of the network and is applicable to many fields of study,such as epidemic spreading or social modeling.
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