Dynamic fluctuation model of complex networks with weight scaling behavior and its application to airport networks

Hai-Tian Zhang, Tao Yu, Jian-Ping Sang and Xian-Wu Zou

Physica A: Statistical Mechanics and its Applications, 2014, vol. 393, issue C, 590-599

Abstract: Airport networks are a kind of complex systems that display significant fluctuations. To describe this kind of phenomena a dynamical fluctuation model is proposed. In this model the fluctuations in growth rates of weight are exponential. There are two adjustable parameters: the exponent β and the creation probability Pd of a new node. β characterizes the tendency to retain an “optimal” allocation of weights (size of components) for a given kind of networks. Pd reflects the interactive effect between the weight fluctuation and variation of nodes and links (topological structure) for each real network. For airport networks the exponent β is 0.4 and the creation probability Pd is equal to 0.018 (China), 0.025 (US), 0.03 (Brazil) and 0.04 (Europe). This model quantitatively describes and reproduces these real airport networks.

Keywords: Complex networks; Airport networks; Dynamic fluctuation model; Weight evolution; Weight scaling behavior; Exponential distribution (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:393:y:2014:i:c:p:590-599

DOI: 10.1016/j.physa.2013.09.005

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