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Noise Induced Dynamics in Adaptive Networks with Applications to Epidemiology

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Adaptive Networks

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

Recent work in modeling the coupling between disease dynamics and dynamic social network geometry has led to the examination of how human interactions force a rewiring of connections in a population. Rewiring of the network may be considered an adaptive response to social forces due to disease spread, which in turn feeds back to the disease dynamics. Such epidemic models, called adaptive networks, have led to new dynamical instabilities along with the creation of multiple attracting states. The co-existence of several attractors is sensitive to internal and external fluctuations, which lead to enhanced stochastic oscillatory outbreaks and disease extinction. The aim of this chapter is to explore the bifurcations of adaptive network models in the presence of fluctuations and to review some of the new fluctuation phenomena induced in adaptive networks.

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Author information

Authors and Affiliations

  1. Department of Applied Science, College of William and Mary, 23187, Williamsburg, VA, USA

    Leah B. Shaw

  2. Plasma Physics Division, US Naval Research Laboratory, Nonlinear Systems Dynamics Section, Code 6792, 20375, Washington, DC, USA

    Ira B. Schwartz

Authors
  1. Leah B. Shaw
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  2. Ira B. Schwartz
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Corresponding author

Correspondence to Leah B. Shaw .

Editor information

Editors and Affiliations

  1. MPI für Physik Komplexer Systeme, Nöthnitzer Str. 38, Dresden, 01187, Germany

    Thilo Gross

  2. Binghamton University, State University of New York, Binghamton, 13902-6000, U.S.A.

    Hiroki Sayama

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© 2009 Springer-Verlag Berlin Heidelberg

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Shaw, L.B., Schwartz, I.B. (2009). Noise Induced Dynamics in Adaptive Networks with Applications to Epidemiology. In: Gross, T., Sayama, H. (eds) Adaptive Networks. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01284-6_10

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  • DOI: https://doi.org/10.1007/978-3-642-01284-6_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01283-9

  • Online ISBN: 978-3-642-01284-6

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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