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Other titles in the Modeling and Simulation in Science, Engineering and Technolo series:

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences (Modeling and Simulation in Science, Engineering and Technolo)

by

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences (Modeling and Simulation in Science, Engineering and Technolo) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, this book shows how behavior in such diverse areas as sociology, economics, and the life sciences can be described by closely related models.

Synopsis:

Using examples from finance 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

Synopsis:

Using examples from finance 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

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.

Product Details

ISBN:
9780817649456
Author:
Naldi, Giovanni
Publisher:
Birkhauser
Editor:
Toscani, Giuseppe
Editor:
Pareschi, Lorenzo
Author:
Toscani, Giuseppe
Author:
Pareschi, Lorenzo
Subject:
Applied
Subject:
Differential Equations
Subject:
Finance
Subject:
Collective behavior
Subject:
kinetic modeling
Subject:
multi-scale modeling
Subject:
nonlinear analysis
Subject:
Population dynamics.
Subject:
socio-economic systems
Subject:
Mathematical Modeling and Industrial Mathematics
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Mathematical and Computational Biology
Subject:
Quantitative Finance
Subject:
Game Theory/Mathematical Methods
Subject:
Mathematics-Applied
Copyright:
Edition Description:
2010
Series:
Modeling and Simulation in Science, Engineering and Technology
Publication Date:
20100830
Binding:
HARDCOVER
Language:
English
Pages:
448
Dimensions:
235 x 155 mm 1770 gr

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Science and Mathematics » Mathematics » Biological Sciences
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences (Modeling and Simulation in Science, Engineering and Technolo) New Hardcover
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$209.75 In Stock
Product details 448 pages Springer - English 9780817649456 Reviews:
"Synopsis" by , Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, this book shows how behavior in such diverse areas as sociology, economics, and the life sciences can be described by closely related models.
"Synopsis" by , Using examples from finance 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
"Synopsis" by , Using examples from finance 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

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