Coarse-grained bifurcation analysis and detection of criticalities of an individual-based epidemiological network model with infection control

Authored by Constantinos I Siettos, Andreas I Reppas, Andreas C Tsoumanis

Date Published: 2010

DOI: 10.1016/j.apm.2009.06.005

Sponsors: No sponsors listed

Platforms: No platforms listed

Model Documentation: Other Narrative Flow charts Mathematical description

Model Code URLs: Model code not found

Abstract

We present and discuss how the so called Equation-free approach for multi-scale computations can be used to systematically study certain aspects of the dynamics of detailed individual-based epidemiological simulators. As our illustrative example, we choose a simple individual-based stochastic epidemic model evolving on a fixed random regular network (RRN). We show how control policies based on the isolation of the infected population can dramatically influence the dynamics of the disease resulting to big-amplitude oscillations. We also address the development of a computational framework that enables detailed epidemiological simulators to converge to their coarse-grained critical points, which mark the onset of the emergent time-dependent solutions as well as to trace branches of coarse-grained unstable equilibria. Using the individual-based simulator we construct the coarse-grained bifurcation diagrams illustrating the dependence of the solutions on the disease characteristics. (C) 2009 Elsevier Inc. All rights reserved

Tags

Quarantine Strategies Diseases Removal rate Simulators