Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

2010. Auflage 2010
ISBN: 978-0-8176-4945-6
Verlag: Springer Nature Singapore

Buch, Englisch, 438 Seiten, Format (B × H): 166 mm x 243 mm, Gewicht: 1770 g

Reihe: Modeling and Simulation in Science, Engineering and Technology

Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely related models.
Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior.
The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Zielgruppe

Research

Autoren/Hrsg.

Naldi, Giovanni

Pareschi, Lorenzo

Toscani, Giuseppe

Fachgebiete

• Wirtschaftswissenschaften Finanzsektor & Finanzdienstleistungen Finanzsektor & Finanzdienstleistungen: Allgemeines
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Naturwissenschaften, Technik, Medizin

Inhaltsverzeichnis

Economic modelling and financial markets.- Agent-based models of economic interactions.- On kinetic asset exchange models and beyond: microeconomic formulation,trade network, and all that.- Microscopic and kinetic models in financial markets.- A mathematical theory for wealth distribution.- Tolstoy’s dream and the quest for statistical equilibrium in economics and the social sciences.- Social modelling and opinion formation.- New perspectives in the equilibrium statistical mechanics approach to social and economic sciences.- Kinetic modelling of complex socio-economic systems.- Mathematics and physics applications in sociodynamics simulation: the case of opinion formation and diffusion.- Global dynamics in adaptive models of collective choice with social influence.- Modelling opinion formation by means of kinetic equations.- Human behavior and swarming.- On the modelling of vehicular traffic and crowds by kinetic theory of active particles.- Particle, kinetic, and hydrodynamic models of swarming.- Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints.- Statistical physics and modern human warfare.- Diffusive and nondiffusive population models.