Category: Epidemiology

Summary: Finding how much fatigue in epidemic-control feedback a coupled epidemic-grid system can tolerate before delayed mitigation becomes unstable.

Public-health control and infrastructure performance can reinforce one another, but that coupling can also create fragile feedback loops. This experiment asks how much fatigue in mitigation behavior a system can sustain before a delayed epidemic-control regime destabilizes a coupled epidemic-grid network.

The model constructs dense coupled Jacobians that combine epidemic dynamics, control response, and grid-like infrastructure interaction, then bisects the fatigue-feedback parameter across larger system sizes. Stability is judged spectrally, so the experiment targets the onset of linear instability rather than only large simulated outbreaks.

This matters because delays, adherence fatigue, and network interdependence are usually analyzed in isolation. The experiment turns their interaction into a quantitative collapse threshold for a joint system.

Method: Dense eigensolve with iterative deepening and bisection on fatigue feedback in a coupled epidemic-grid Jacobian.

What is measured: Critical fatigue-feedback threshold, leading-eigenvalue stability boundary, coupled-system mode behavior, and bracket width.