Prediction of invasion from the early stage of an epidemic
Francisco J. Perez-Reche, Franco M. Neri, Sergei N. Taraskin and, Christopher A. Gilligan

TL;DR
This paper develops and tests simple, robust methods to predict the invasion probability of epidemics, demonstrated through experiments and models, emphasizing early-stage assessment and the predictive value of small-scale epidemic data.
Contribution
It introduces parsimonious methodologies for early epidemic invasion prediction, validated on experimental and simulated data, highlighting their reliability and practical utility.
Findings
Simple methods can reliably predict invasion probability.
Small-scale epidemic data have significant predictive power.
Framework enables quick early-stage epidemic threat assessment.
Abstract
Predictability of undesired events is a question of great interest in many scientific disciplines including seismology, economy, and epidemiology. Here, we focus on the predictability of invasion of a broad class of epidemics caused by diseases that lead to permanent immunity of infected hosts after recovery or death. We approach the problem from the perspective of the science of complexity by proposing and testing several strategies for the estimation of important characteristics of epidemics, such as the probability of invasion. Our results suggest that parsimonious approximate methodologies may lead to the most reliable and robust predictions. The proposed methodologies are first applied to analysis of experimentally observed epidemics: invasion of the fungal plant pathogen \emph{Rhizoctonia solani} in replicated host microcosms. We then consider numerical experiments of the SIR…
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