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

  • Giovanni Naldi
  • Lorenzo Pareschi
  • Giuseppe Toscani

Table of contents

  1. Front Matter
    Pages i-x
  2. Economic modelling and financial markets

    1. Front Matter
      Pages 1-1
    2. Anirban Chakraborti, Guido Germano
      Pages 3-29
    3. Stephane Cordier, Dario Maldarella, Lorenzo Pareschi, Cyrille Piatecki
      Pages 51-80
    4. Bertram Düring, Daniel Matthes
      Pages 81-113
  3. Social modelling and opinion formation

    1. Front Matter
      Pages 135-135
    2. Elena Agliari, Adriano Barra, Raffaella Burioni, Pierluigi Contucci
      Pages 137-174
    3. Giulia Ajmone Marsan
      Pages 175-201
    4. Laurent Boudin, Francesco Salvarani
      Pages 245-270
  4. Human behavior and swarming

    1. Front Matter
      Pages 271-271
    2. José A. Carrillo, Massimo Fornasier, Giuseppe Toscani, Francesco Vecil
      Pages 297-336
    3. Alex Dixon, Zhenyuan Zhao, Juan Camilo Bohorquez, Russell Denney, Neil Johnson
      Pages 365-396
    4. Ansgar Jüngel
      Pages 397-425
  5. Back Matter
    Pages 427-435

About this book


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. Systems made out of a large enough number of individual members can be said to exhibit a collective behavior, from which insight can be gathered in a way that real-life experiments cannot. 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.

Specific topics covered include:
* analysis of wealth distributions
* dynamics of price formation
* spreading of opinions
* models of social behavior
* population dynamics
* aggregation and swarming

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.


STATISTICA collective behavior kinetic modeling mathematics multi-scale modeling nonlinear analysis partial differential equation population dynamics socio-economic systems

Editors and affiliations

  • Giovanni Naldi
    • 1
  • Lorenzo Pareschi
    • 2
  • Giuseppe Toscani
    • 3
  1. 1.Dipartimento di MatematicaUniversità di MilanoMilanoItaly
  2. 2.Dipartimento di MatematicaUniversità di FerraraFerraraItaly
  3. 3.Dipartimento di MatematicaUniversità di PaviaPaviaItaly

Bibliographic information