3 papers
math.AP2025
Derivation and quasi-invariant asymptotics of phenotype-structured integro-differential models
Emanuele Bernardi, Tommaso Lorenzi, Andrea Tosin
Building upon kinetic theory approaches for multi-agent systems and generalising them to scenarios where the total mass of the system is not conserved, we develop a modelling frame…
q-bio.PE2025
Heterogeneously structured compartmental models of epidemiological systems: from individual-level processes to population-scale dynamics
Emanuele Bernardi, Tommaso Lorenzi, Mattia Sensi +1
We develop a general modelling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment-sp…
physics.soc-ph2025
Probabilistic modeling of car traffic accidents
Simone Göttlich, Thomas Schillinger, Andrea Tosin
We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon.…