Modeling Complex Living Systems: A Kinetic Theory and Stochastic Game Approach

Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even ??intelligent?? ability. The author develops new mathematical methods and tools--hopefully a ??new?? mathematics--toward the modeling of living systems. Such tools need to be far more complex than those dealing with systems of inert matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in the applied sciences. The second part of the book deals with various models and applications related to immunology, transportation engineering, and economics.