This book is based on the idea that Boltzmann-like modelling
methods can be developed to design, with special attention to
applied sciences, kinetic-type models which are called generalized
kinetic models. In particular, these models appear in evolution
equations for the statistical distribution over the physical state
of each individual of a large population. The evolution is
determined both by interactions among individuals and by external
actions.
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.
General
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