An infection process near criticality: Influence of the initial condition

TL;DR

This paper studies how the initial number of infected individuals influences the behavior of a critical infection process, focusing on outbreak size, duration, and fluctuations.

Contribution

It provides new insights into the impact of initial conditions on the dynamics of critical infection processes.

Findings

Initial conditions significantly affect outbreak size and duration.

Fluctuations play a crucial role near criticality.

The analysis reveals scaling behaviors related to initial infection numbers.

Abstract

We investigate how the initial number of infected individuals affects the behavior of the critical susceptible-infected-recovered process. We analyze the outbreak size distribution, duration of the outbreaks, and the role of fluctuations.