Analysis, Modeling and Simulation of Collective Dynamics from Bacteria to Crowds

Suggested readings

B. Perthame: Transport Equations in Biology. Frontiers in Mathematics. Birkhäuser Verlag, Basel, 2007.

J.A. Carrillo, M. Fornasier, G. Toscani, F. Vecil, Particle, Kinetic, and Hydrodynamic Models of Swarming, in Naldi, G., Pareschi, L., Toscani, G.(eds.) Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences, Series: Modelling and Simulation in Science and Technology, Birkhauser, (2010), 297—336.

Ch. Doering: Modeling complex systems: Stochastic processes, stochastic differential equations, and Fokker-Planck equations, in 1990 Lectures in Complex Systems, Santa Fé Institute Studies in the Sciences of Complexity, Lect. Vol. III, Eds. L. Nadel and D. Stein, Addison-Wesley, 1991.

Ch. Doering, C. Mueller, P. Smereka: Interacting particles, the stochastic Fisher–Kolmogorov–Petrovsky–Piscounov equation, and duality. Physica A 325 (2003), 243–259.

B. Piccoli, A. Tosin: Time-evolving measures and macroscopic modeling of pedestrian flow, ARMA 199 (2011), 707–738.

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