Collective Dynamics from Bacteria to Crowds  An Excursion Through Modeling, Analysis and Simulation /  [electronic resource] : 
edited by Adrian Muntean, Federico Toschi. 
 - 1. 
 - VII, 177 p. 29 illus.  online resource. 
 - CISM International Centre for Mechanical Sciences,  553  0254-1971 ; .
 - CISM International Centre for Mechanical Sciences,  553 .
<br/><br/>The derivation of swarming models: mean-field limit and Wasserstein distances -- Non-smooth evolution models in crowd dynamics: mathematical and numerical issues -- Pedestrians moving in the dark: balancing measures and playing games on lattices -- Stochastic competition between two populations in space -- Discrete and continuum dynamics of reacting and interacting individuals -- Multiscale crowd dynamics: modeling and theory. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9783709117859 
<br/><br/><label>Standard No.: </label>10.1007/978-3-7091-1785-9  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Physics.<br/>Biomathematics.<br/>Statistical physics.<br/>Dynamical systems.<br/>Complexity, Computational.<br/>Physics.<br/>Statistical Physics, Dynamical Systems and Complexity.<br/>Complexity.<br/>Mathematical and Computational Biology.
<br/><br/><label>LC Class. No.: </label>QC174.7-175.36 
<br/><br/><label>Dewey Class. No.: </label>621