Epidemic Dynamics on an Adaptive Network

2005/12/31 by Thilo Gross, Thilo Groß, Carlos Dommar D'Lima +2 · 920 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Bifurcation #Complex Network Analysis Techniques #Complex network #Computer network #Computer science #Dynamics (music) #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Network dynamics #Network topology #Nonlinear system #Opinion Dynamics and Social Influence #Physics #Statistical physics #Topology (electrical circuits) #cond-mat.soft #physics.soc-ph #q-bio.PE

paper · pdf · doi:10.1103/physrevlett.96.208701

published in Physical Review Letters 96(20), 208701 (American Physical Society) · 4 pages, 4 figures, final version

openalex publication_date 2006/05/24 · arxiv created 2006/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 susceptibles are able to avoid contact with the infected by rewiring their network connections. This gives rise to assortative degree correlation, oscillations, hysteresis, and first order transitions. We propose a low-dimensional model to describe the system and present a full local bifurcation analysis. Our results indicate that the interplay between dynamics and topology can have important consequences for the spreading of infectious diseases and related applications.

Citations

• Dynamics of Networking Agents Competing for High Centrality and Low Degree
• Emergence of scaling in random networks
• Infection dynamics on scale-free networks
• Mixing patterns in networks
• Epidemic Threshold in Structured Scale-Free Networks
• Epidemic Spreading in Scale-Free Networks
• Assortative Mixing in Networks
• Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
• Statistical mechanics of complex networks
• The Structure and Function of Complex Networks

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