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Stochastic oscillations of adaptive networks: application to epidemic modelling


Reference:

Rogers, T., Clifford-Brown, W., Mills, C. and Galla, T., 2012. Stochastic oscillations of adaptive networks: application to epidemic modelling. Journal of Statistical Mechanics-Theory and Experiment, 2012 (August), P08018.

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Official URL:

http://dx.doi.org/10.1088/1742-5468/2012/08/P08018

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Abstract

Adaptive-network models are typically studied using deterministic differential equations which approximately describe their dynamics. In simulations, however, the discrete nature of the network gives rise to intrinsic noise which can radically alter the system's behaviour. In this article we develop a method to predict the effects of stochasticity in adaptive networks by making use of a pair-based proxy model. The technique is developed in the context of an epidemiological model of a disease spreading over an adaptive network of infectious contact. Our analysis reveals that in this model the structure of the network exhibits stochastic oscillations in response to fluctuations in the disease dynamic.

Details

Item Type Articles
CreatorsRogers, T., Clifford-Brown, W., Mills, C. and Galla, T.
DOI10.1088/1742-5468/2012/08/P08018
Related URLs
URLURL Type
http://arxiv.org/abs/1206.2768Free Full-text
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code32181

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