Reaction-Diffusion Models of Urban Crime

description to be written; pictures and movies

• The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime
  T. Kolokolnikov and J. Wei. (DCDS-B, Vol. 19, No. 6, (2014), pp. 1373-1410).

• Hotspot Formation and Dynamics for a Continuum Model of Urban Crime
  with Simon Tse, (Europ. J. Appl. Math., Vol. 27, No. 3, (2016), pp. 583-624).

• Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol
  with Simon Tse (SIAM J. Appl. Dyn. Sys., Vol. 17, No. 3, (2018), pp. 2018-2075).

• Cops-on-the-Dots: The Linear Stability of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime
  with Andreas Buttenschoen, Theodore Kolokolnikov, and Juncheng Wei (submitted, EJAM, (2018), (37 pages).)

• Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems
  with I. Moyles, W. H. Tse, (Studies in Applied Math, Vol. 136, No. 1, (2016), pp. 89-136.)