TY - CHAP
T1 - Kinetic Modelling of Epidemic Dynamics
T2 - Social Contacts, Control with Uncertain Data, and Multiscale Spatial Dynamics
AU - Albi, Giacomo
AU - Bertaglia, Giulia
AU - Boscheri, Walter
AU - Dimarco, Giacomo
AU - Pareschi, Lorenzo
AU - Toscani, Giuseppe
AU - Zanella, Mattia
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - In this survey we report some recent results in the mathematical modelling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction between agents in which social characteristics play a key role in the spread of an epidemic, such as the age of individuals, the number of social contacts, and their economic wealth. Subsequently, for such models, we discuss the possibility of containing the epidemic through an appropriate optimal control formulation based on the policy maker’s perception of the progress of the epidemic. The role of uncertainty in the data is also discussed and addressed. Finally, the kinetic modelling is extended to spatially dependent settings using multiscale transport models that can characterize the impact of movement dynamics on epidemic advancement on both one-dimensional networks and realistic two-dimensional geographic settings.
AB - In this survey we report some recent results in the mathematical modelling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction between agents in which social characteristics play a key role in the spread of an epidemic, such as the age of individuals, the number of social contacts, and their economic wealth. Subsequently, for such models, we discuss the possibility of containing the epidemic through an appropriate optimal control formulation based on the policy maker’s perception of the progress of the epidemic. The role of uncertainty in the data is also discussed and addressed. Finally, the kinetic modelling is extended to spatially dependent settings using multiscale transport models that can characterize the impact of movement dynamics on epidemic advancement on both one-dimensional networks and realistic two-dimensional geographic settings.
UR - http://www.scopus.com/inward/record.url?scp=85138703256&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-96562-4_3
DO - 10.1007/978-3-030-96562-4_3
M3 - Chapter
AN - SCOPUS:85138703256
T3 - Modeling and Simulation in Science, Engineering and Technology
SP - 43
EP - 108
BT - Modeling and Simulation in Science, Engineering and Technology
PB - Birkhauser
ER -