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Animal behavior - Mathematical models --- State-space methods --- Animal ethology and ecology. Sociobiology --- Animal behavior --- State-space methods. --- Mathematical models.

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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.

Animal behavior -- Mathematical models. --- Animal behavior. --- Collective behavior -- Mathematical models. --- Collective behavior. --- Collective behavior --- Entrepreneurship --- Self-organizing systems --- Social Sciences --- Engineering & Applied Sciences --- Social Sciences - General --- Applied Mathematics --- Mathematical models --- Mathematical models. --- Learning systems (Automatic control) --- Self-optimizing systems --- Entrepreneur --- Intrapreneur --- Behavior, Collective --- Crowd behavior --- Crowds --- Mass behavior --- Psychology --- Mathematics. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Economics, Mathematical. --- Biomathematics. --- Statistical physics. --- Dynamical systems. --- Applications of Mathematics. --- Mathematical Modeling and Industrial Mathematics. --- Statistical Physics, Dynamical Systems and Complexity. --- Partial Differential Equations. --- Mathematical and Computational Biology. --- Quantitative Finance. --- Cybernetics --- Intellect --- Learning ability --- Synergetics --- Capitalism --- Business incubators --- Human behavior --- Social action --- Social psychology --- Differential equations, partial. --- Finance. --- Complex Systems. --- Funding --- Funds --- Economics --- Currency question --- Partial differential equations --- Math --- Science --- Economics, Mathematical . --- Models, Mathematical --- Simulation methods --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematical economics --- Econometrics --- Mathematics --- Biology --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Methodology --- Statistical methods --- System theory. --- Differential equations. --- Social sciences --- Differential Equations. --- Mathematics in Business, Economics and Finance. --- 517.91 Differential equations --- Differential equations --- Systems, Theory of --- Systems science --- Philosophy