Dresden 2009 – scientific programme
Parts | Days | Selection | Search | Downloads | Help
AGSOE: Arbeitsgruppe Physik sozio-ökonomischer Systeme
AGSOE 17: Networks: From Topology to Dynamics II
AGSOE 17.4: Talk
Thursday, March 26, 2009, 11:45–12:15, BAR 205
Dynamics of a SIRS epidemic model on an adaptive network — •Alejandro Mora1,2, Gerd Zschaler1, and Thilo Gross1 — 1Max-Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden Germany — 2Simulation of Physical Systems Group, Departamento de Física, Universidad Nacional de Colombia, Cra 30 45-03, Ed. 404, Of. 348, Bogotá D.C., Colombia
The study of epidemic spreading on adaptive networks combine tools from the classical epidemiology, statistical physics, and dynamical systems theory. Adaptive evolution of the network topology depending on the local state of the nodes provides a more realistic approach to the propagation of contagious diseases. We investigate the dynamics of a susceptible-infected-recovered-susceptible (SIRS) epidemiological process on an adaptive network. The recovered state is proposed to represent either temporal immunity or susceptible population turnover. In the latter case, a node in the recovered state loses its links at a fast rate, while new links are permanently created and destroyed between nodes in the other epidemiological states. We analyze the system behavior with extended mean-field equations that include links between nodes as dynamical variables and a moment closure that approximates higher order correlations between nodes. The numerical solutions of such correlation equations show the emergence of discontinuous transitions, bifurcations, and oscillations of the disease prevalence. Then comparisons are performed with analogous results of intensive agent-based simulations on networks. Finally, we discuss application to real epidemics.