Kinetic Modelling of Epidemic Dynamics: Social Contacts, Control with Uncertain Data, and Multiscale Spatial Dynamics

In this survey we report some recent results in the mathematical modelling of epidemic phenomena through use kinetic equations. We initially consider models interaction between agents which social characteristics play a key role spread an epidemic, such as age individuals, number contacts, and their economic wealth. Subsequently, for models, discuss possibility containing appropriate optimal control formulation based on policy maker’s perception progress epidemic. The uncertainty data is also discussed addressed. Finally, extended to spatially dependent settings using multiscale transport that can characterize impact movement dynamics advancement both one-dimensional networks realistic two-dimensional geographic settings.