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Discrete & Continuous Dynamical Systems - B

July 2014 , Volume 19 , Issue 5

Special Issue on Mathematics of Social Systems

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Preface to special issue on mathematics of social systems
Andrea L. Bertozzi
2014, 19(5): i-v doi: 10.3934/dcdsb.2014.19.5i +[Abstract](1408) +[PDF](220.8KB)
Confinement for repulsive-attractive kernels
Daniel Balagué, José A. Carrillo and Yao Yao
2014, 19(5): 1227-1248 doi: 10.3934/dcdsb.2014.19.1227 +[Abstract](984) +[PDF](1235.6KB)
Phase transition and diffusion among socially interacting self-propelled agents
Alethea B. T. Barbaro and Pierre Degond
2014, 19(5): 1249-1278 doi: 10.3934/dcdsb.2014.19.1249 +[Abstract](1119) +[PDF](563.0KB)
Inhomogeneous Patlak-Keller-Segel models and aggregation equations with nonlinear diffusion in $\mathbb{R}^d$
Jacob Bedrossian and Nancy Rodríguez
2014, 19(5): 1279-1309 doi: 10.3934/dcdsb.2014.19.1279 +[Abstract](994) +[PDF](654.4KB)
Mean field games with nonlinear mobilities in pedestrian dynamics
Martin Burger, Marco Di Francesco, Peter A. Markowich and Marie-Therese Wolfram
2014, 19(5): 1311-1333 doi: 10.3934/dcdsb.2014.19.1311 +[Abstract](1234) +[PDF](1893.5KB)
Latent self-exciting point process model for spatial-temporal networks
Yoon-Sik Cho, Aram Galstyan, P. Jeffrey Brantingham and George Tita
2014, 19(5): 1335-1354 doi: 10.3934/dcdsb.2014.19.1335 +[Abstract](1061) +[PDF](853.3KB)
Rethinking centrality: The role of dynamical processes in social network analysis
Rumi Ghosh and Kristina Lerman
2014, 19(5): 1355-1372 doi: 10.3934/dcdsb.2014.19.1355 +[Abstract](1333) +[PDF](465.1KB)
The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime
Theodore Kolokolnikov, Michael J. Ward and Juncheng Wei
2014, 19(5): 1373-1410 doi: 10.3934/dcdsb.2014.19.1373 +[Abstract](1109) +[PDF](992.8KB)
Two-species particle aggregation and stability of co-dimension one solutions
Alan Mackey, Theodore Kolokolnikov and Andrea L. Bertozzi
2014, 19(5): 1411-1436 doi: 10.3934/dcdsb.2014.19.1411 +[Abstract](1075) +[PDF](2066.3KB)
Paladins as predators: Invasive waves in a spatial evolutionary adversarial game
Scott G. McCalla
2014, 19(5): 1437-1457 doi: 10.3934/dcdsb.2014.19.1437 +[Abstract](845) +[PDF](1416.9KB)
Gang rivalry dynamics via coupled point process networks
M. B. Short, G. O. Mohler, P. J. Brantingham and G. E. Tita
2014, 19(5): 1459-1477 doi: 10.3934/dcdsb.2014.19.1459 +[Abstract](902) +[PDF](1023.2KB)
Cops on the dots in a mathematical model of urban crime and police response
Joseph R. Zipkin, Martin B. Short and Andrea L. Bertozzi
2014, 19(5): 1479-1506 doi: 10.3934/dcdsb.2014.19.1479 +[Abstract](1182) +[PDF](696.8KB)

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