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Epidemic dynamics on an adaptive network.
Many real-world networks are characterized by adaptive changes in their topology depending on the state of their nodes. Here we study epidemic dynamics on an adaptive network, where the susceptiblesExpand
  • 589
  • 24
  • Open Access
Adaptive coevolutionary networks: a review
tl;dr
We show that the dynamics of adaptive networks can be viewed from a unique angle. Expand
  • 733
  • 21
  • Open Access
Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations.
We investigate the emergence of spatio-temporal patterns in ecological systems. In particular, we study a generalized predator-prey system on a spatial domain. On this domain diffusion is consideredExpand
  • 254
  • 11
  • Open Access
Generalized models as a universal approach to the analysis of nonlinear dynamical systems.
  • T. Gross, U. Feudel
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and…
  • 6 January 2006
We present a universal approach to the investigation of the dynamics in generalized models. In these models the processes that are taken into account are not restricted to specific functional forms.Expand
  • 89
  • 8
  • Open Access
All scale-free networks are sparse.
tl;dr
We study the realizability of scale-free networks with a given degree sequence, showing that the fraction of realizable sequences undergoes two first-order transitions at the values 0 and 2 of the power-law exponent. Expand
  • 114
  • 8
  • Open Access
Structural kinetic modeling of metabolic networks
To develop and investigate detailed mathematical models of metabolic processes is one of the primary challenges in systems biology. However, despite considerable advance in the topological analysisExpand
  • 235
  • 7
  • Open Access
Self-organized criticality as a fundamental property of neural systems
tl;dr
The neural criticality hypothesis states that the brain may be poised in a critical state at a boundary between different types of dynamics. Expand
  • 189
  • 5
  • Open Access
Modeling complex systems with adaptive networks
tl;dr
In this paper, we introduce fundamental concepts and unique properties of adaptive networks through a brief, non-comprehensive review of recent literature on mathematical/computational modeling and analysis of such networks. Expand
  • 119
  • 5
  • Open Access
Generalized Models Reveal Stabilizing Factors in Food Webs
Untangling Food Webs The factors affecting the stability of food webs are important in conservation and ecological restoration. Gross et al. (p. 747) used a generalized modeling approach to evaluateExpand
  • 175
  • 4
  • Open Access
Failure of Adaptive Self-Organized Criticality during Epileptic Seizure Attacks
tl;dr
We show that during epileptic seizure attacks neuronal activity patterns deviate from the normally observed power-law distribution characterizing critical dynamics. Expand
  • 121
  • 4
  • Open Access