Collective Dynamics from Bacteria to Crowds

1. Front Matter

   Pages i-vii

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2. The derivation of swarming models: Mean-field limit and Wasserstein distances

   • José Antonio Carrillo, Young-Pil Choi, Maxime Hauray

   Pages 1-46

3. Non smooth evolution models in crowd dynamics: mathematical and numerical issues

   • Bertrand Maury

   Pages 47-73

4. Pedestrians moving in the dark: Balancing measures and playing games on lattices

   • Adrian Muntean, Emilio N. M. Cirillo, Oleh Krehel, Michael Böhm

   Pages 75-103

5. Stochastic competition between two populations in space

   • Simone Pigolotti, Roberto Benzi, Mogens H. Jensen, Prasad Perlekar, Federico Toschi

   Pages 105-117

6. Discrete and Continuum Dynamics of Reacting and Interacting Individuals

   • Francesca Tesser, Charles R. Doering

   Pages 119-156

7. Multiscale Crowd Dynamics Modeling and Theory

   • Andrea Tosin

   Pages 157-177

Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.

• Balance of Measures
• Microscopic Dynamics
• Particle Systems
• Populations Dynamics
• complexity

• Eindhoven University of Technology, Eindhoven, The Netherlands

  Adrian Muntean, Federico Toschi

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