Fluid Mechanics and Epidemiology

Research Theme

Fluid Mechanics and Epidemiology

We use ideas from transport, fronts, and pattern formation to explain how mobility reshapes epidemics—showing that a small fraction of traveling infected individuals can control outbreak speed and spatial structure.

Mobility & Transport Front Propagation Pattern Formation
Fluid Mechanics and Epidemiology

Why mobility matters in epidemics

Most epidemic models emphasize local infection dynamics—how fast infection spreads within a community. But real outbreaks unfold across space, driven by movement between communities.

Even when most people stay put, a small fraction of traveling infected individuals can dominate front speeds and generate organized spatial patterns (waves, hotspots) far from the origin.

In our work, we call these highly mobile infected individuals geographical spreaders. Their role is analogous to “fast transport pathways” in fluid systems: rare, but disproportionately influential.


A mechanistic picture: fronts, waves, and hotspots

🚗 Geographical spreaders

A small mobile fraction (often 1–10%) can seed distant communities and reorganize outbreak geometry.

🌊 Front propagation speeds

Mobility changes the effective transport process, accelerating the epidemic front beyond what local transmission alone predicts.

🔥 Pattern formation

Long-range seeding can generate waves and hotspots—structured patterns that emerge even without large changes in infection rate.


What this framework enables

  • Quantifying how mobility controls outbreak speed (front propagation)
  • Identifying when small mobile subpopulations dominate spread
  • Explaining waves/hotspots as transport-driven pattern formation
  • Guiding interventions that target movement pathways, not only transmission rates

Representative Publication

  1. Li, S., Henriquez, C., & Katul, G. The role of geographical spreaders in infectious pattern formation and front propagation speeds. Physica D: Nonlinear Phenomena, 440, 133460. (Add DOI / link if you want it shown here.)