3 papers
physics.soc-ph2026
Modularity, asymmetry, and polarization shape consensus speed in the voter model
Madi Yerlanov, Zachary Kilpatrick, Nancy Rodriguez
In populations with community structure, the formation of consensus requires both alignment within and diffusion of beliefs across groups, processes that evolve on distinct time sc…
math.AP2025
A study of general reaction-advection-diffusion equations describing dynamics between target, partaker, and guardian
Madi Yerlanov, Nancy Rodriguez
This paper introduces a reaction-advection-diffusion system that models interactions among three actors: a target, a partaker, and a guardian. The framework is versatile, capturing…
nlin.PS2025
Global Bifurcations and Pattern Formation in Target-Offender-Guardian Crime Models
Madi Yerlanov, Qi Wang, Nancy Rodriguez
We study a reaction-advection-diffusion model of a target-offender-guardian system designed to capture interactions between urban crime and policing. Using Crandall-Rabinowitz bifu…