Quasilinear systems and residential burglary

Hot Topics in Computational Criminology

授课人:Raul Manasevich

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Applied;    Social Sciences;    Applied Mathematics;   

加拿大|英语

【 摘 要 】

In this talk we will present some results for systems of equations modeling residential burglary.For the parabolic system model proposed by Andrea Bertozzi et-al, we study the equilibrium case. By using bifurcation theory we show that this system does support pattern formation. We also give some results concerning stability of the bifurcating patterns. These results correspond to a joint work with Chris Cosner and Steve Cantrel from the University of Miami.The model has been recently modified by Pitcher giving rise to a new parabolic system of equations. We show some results for this system that contain a condition for existence of global solutions. This work corresponds to a collaboration with Philippe Souplet and Quoc Hung Phan from Paris 13.

【 授权许可】

CC BY-NC-ND   
Except where explicitly noted elsewhere, the works on this site are licensed under a Creative Commons License: CC BY-NC-ND