4 papers
A Mass Preserving Numerical Scheme for Kinetic Equations that Model Social Phenomena
Yassin Bahid, Eduardo Corona, Nancy Rodriguez
In recent years, kinetic equations have been used to model many social phenomena. A key feature of these models is that transition rate kernels involve Dirac delta functions, which…
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…
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…
Modeling Social Systems: Transparency, Reproducibility, and Responsibility
Maximino Aldana, Roni Barak Ventura, Heather Z. Brooks +13
Mathematical models of complex social systems can enrich social scientific theory, inform interventions, and shape policy. From voting behavior to economic inequality and urban dev…