Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.

Contents:

• Generalized Kinetic Models
• Mathematical Background: Measure, Integration, Topology
• Models of Population Dynamics with Stochastic Interactions
• Generalized Kinetic Models for Coagulation and Fragmentation
• Kinetic Cellular Models in the Immune System Competition
• Kinetic Models for the Evolution of Antigens Generalized Shape
• The Boltzmann Model
• Generalized Kinetic Models for Traffic Flow
• Dissipative Kinetic Models for Disparate Mixtures
• Research Perspectives

"... the book offers a simple and painless introduction to many applications of kinetic theory."

"... the authors give a unified presentation of the whole, large and highly general class of models among which the Boltzmann equation can be regarded as a particular, however relevant, example ... mathematical problems related to the analysis of these models are often an interesting and challenging task for applied mathematics."