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

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 mode...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Naldi, Giovanni. (Editor), Pareschi, Lorenzo. (Editor), Toscani, Giuseppe. (Editor)
Format: Electronic
Language:English
Published: Boston : Birkhũser Boston, 2010.
Series:Modeling and Simulation in Science, Engineering and Technology
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4946-3
Table of Contents:
  • Part I. 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
  • Part II. 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
  • Part III. 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.