Coarse-grained bifurcation analysis and detection of criticalities of an individual-based epidemiological network model with infection control |
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Authors: | Andreas I Reppas Andreas C Tsoumanis Constantinos I Siettos |
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Institution: | 1. School of Applied Mathematics and Physical Sciences, National Technical University of Athens, GR 157 80, Athens, Greece;2. School of Chemical Engineering, National Technical University of Athens, GR 157 80, Athens, Greece |
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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. |
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Keywords: | Multi-scale computations Bifurcation analysis Individual-based models Epidemiology Control |
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