Using symbolic networks to analyse dynamical properties of disease outbreaks
Jos\'e L. Herrera-Diestra, Javier M. Buld\'u, Mario Ch\'avez and, Johann H. Mart\'inez

TL;DR
This paper presents a novel network-based method to analyze epidemic time series by translating disease prevalence fluctuations into ordinal patterns and constructing networks to study their evolution and complexity.
Contribution
The authors introduce a new symbolic network approach to analyze disease outbreak dynamics, offering a fresh perspective on epidemic evolution.
Findings
Network structure reveals disease progression patterns
Ordinal patterns help classify epidemic stages
Entropy and complexity measures track outbreak evolution
Abstract
We introduce a new methodology to analyze the evolution of epidemic time series, which is based on the construction of epidemic networks. First, we translate the time series into ordinal patterns containing information about local fluctuations of the disease prevalence. Each pattern is associated to a node of a network, whose (directed) connections arise from consecutive appearances in the series. The analysis of the network structure and the role of each pattern, allows classifying them according to the enhancement of entropy/complexity along the series, giving a different point of view about the evolution of a given disease.
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