Collective Dynamics from Bacteria to Crowds ISBN: 9783709117859 Platform/Publisher: SpringerLink / Springer Vienna Digital rights:Users: unlimited; Printing: unlimited; Download: unlimited Subjects: Engineering;
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.