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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Preface to special issue on mathematics of social systems
Pages: i - v, Issue 5, July 2014

doi:10.3934/dcdsb.2014.19.5i      Abstract        References        Full text (220.8K)           Related Articles

Andrea L. Bertozzi - University of California Los Angeles, Department of Mathematics, 520 Portola Plaza Box 951555, Los Angeles, CA 90095-1555, United States (email)

1 A. B. T. Barbaro and P. Degond, Phase transition and diffusion among socially interacting self-propelled agents, Discrete and Continuous Dynamical Systems, 34 (2014), 1249-1278.
2 D. Balagué, J. A. Carrillo and Y. Yao, Confinement for repulsive-attractive kernels, Discrete and Continuous Dynamical Systems, 34 (2014), 1227-1248.
3 J. Bedrossian and N. Rodríguez, Inhomogeneous Patlak-Keller-Segel models and aggregation equations with nonlinear diffusion in $R^d$, Discrete and Continuous Dynamical Systems, 34 (2014), 1279-1309.
4 J. Bedrossian, N. Rodríguez and A. L. Bertozzi, Local and global well-posedness for aggregation equations and Keller-Segel models with degenerate diffusion, Nonlinearity, 24 (2011), 1683-1714.       
5 M. Burger, M. Di Francesco, P. A. Markowich and M. T. Wolfram, Mean field games with nonlinear mobilities in pedestrian dynamics, Discrete and Continuous Dynamical Systems, 34 (2014), 1311-1333.
6 Y. S. Cho, A. Galstyan, P. J. Brantingham and G. Tita, Latent self-exciting point process model for spatial-temporal networks, Discrete and Continuous Dynamical Systems, 34 (2014),1335-1354.
7 F. Cucker and S. Smale, Emergent behavior in flocks, IEEE Transactions on Automatic Control, 52 (2007), 852-862.       
8 M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi and L. Chayes, Self-propelled particles with soft-core interactions: patterns, stability and collapse, Phys. Rev. Lett., 96 (2006), 104302.
9 R. Ghosh and K. Lerman, Rethinking Centrality: The role of dynamical processes in social network analysis, Discrete and Continuous Dynamical Systems, 34 (2014), 1355-1372.
10 R. A. Hegemann, E. A. Lewis and A. L. Bertozzi, An estimate & Score Algorithm for simultaneous parameter estimation and reconstruction of incomplete data on social networks, Security Informatics, 2, 1-13.
11 T. Kolokolnikov, H. Sun, D. Uminsky and A. L. Bertozzi, Stability of ring patterns arising from two-dimensional particle interactions, Phys. Rev. E, 84 (2011), 015203.
12 T. Kolokolnikov, M. J. Ward and J. Wei, The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime, Discrete and Continuous Dynamical Systems, 34 (2014), 1373-1410.
13 M. A. Lewis, B. Li and H. F. Weinberger, Spreading speed and linear determinacy for two-species competition models, J. Math. Biol., 45 (2002), 219-233.       
14 A. Mackey, T. Kolokolnikov and A. L. Bertozzi, Two-species particle aggregation and stability of co-dimension one solutions, Discrete and Continuous Dynamical Systems, 34 (2014), 1411-1436.
15 S. G. McCalla, Paladins as predators: Invasive waves in a spatial evolutionary adversarial game, Discrete and Continuous Dynamical Systems, 34 (2014), 1437-1457.
16 M. B. Short, M. R. D'Orsogna, V. B. Pasour, G. E. Tita, P. J. Brantingham, A. L. Bertozzi and L. B. Chayes, A statistical model of criminal behavior, Math. Models. Meth. Appl. Sci., 18 (2008), 1249-1267.       
17 M. B. Short, A. L. Bertozzi and P. J. Brantingham, Nonlinear patterns in urban crime - hotpsots, bifurcations, and suppression, SIAM J. Appl. Dyn. Sys., 9 (2010), 462-483.       
18 M. B. Short, P. J. Brantingham, A. L. Bertozzi and G. E. Tita, Dissipation and displacement of hotpsots in reaction-diffusion models of crime, Proc. Nat. Acad. Sci., 107 (2010), 3961-3965.
19 M. B. Short, P. J. Brantingham and M. R. D'Orsogna, Cooperation and punishment in an adversarial game: How defectors pave the way to a peaceful society, Phys. Rev. E, 82 (2010), 066114.       
20 M. B. Short, G. O. Mohler, P. J. Brantingham and G. E. Tita, Gang rivalry dynamics via coupled point process networks, Discrete and Continuous Dynamical Systems, 34 (2014), 1459-1477.
21 A. Stomakhin, M. B. Short and A. L. Bertozzi, Reconstruction of missing data in social networks based on temporal patterns of interactions, Inverse Problems, 27 (2011), p. 115013.       
22 T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen and O. Shochet, Novel type of phase in a system of self-driven particles, Phys. Rev. Lett., 75 (1995), 1226-1229.
23 X.-S. Wang, H. Wang and J. Wu. Traveling waves of diffusive predator-prey systems: Disease outbreak propagation, Discrete Contin. Dyn. Syst., 32 (2012), 3303-3324.       
24 J. R. Zipkin, M. B. Short and A. L. Bertozzi, Cops on the dots in a mathematical model of urban crime and police response, Discrete and Continuous Dynamical Systems, 34 (2014), 1479-1506.

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