2014/10/18 by András Szabó-Solticzky, Szabó-Solticzky, András, Luc Berthouze +7
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Complex Network Analysis Techniques #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph) #Populations and Evolution (q-bio.PE) #Probability (math.PR) #math.DS #math.PR #physics.soc-ph #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1410.4953
arxiv created 2014/10/18 · openalex publication_date 2014/10/18 · arxiv updated 2014/10/21 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
An adaptive network model using SIS epidemic propagation with link-type dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochastic simulation is carried out, showing that three typical behaviours may occur; namely, oscillations can be observed besides disease-free or endemic steady states. The oscillatory behaviour in the stochastic simulations is studied using Fourier analysis, as well as through analysing the exact master equations of the stochastic model. A compact pairwise approximation for the dynamic network case is also developed and, for the case of link-type independent rewiring, the outcome of epidemics and changes in network structure are concurrently presented in a single bifurcation diagram. By going beyond simply comparing simulation results to mean-field models, our approach yields deeper insights into the observed phenomena and help better understand and map out the limitations of mean-field models.