Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods

@article{Bertaglia2020HyperbolicMF,
  title={Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods},
  author={Giulia Bertaglia and Lorenzo Pareschi},
  journal={ArXiv},
  year={2020},
  volume={abs/2007.04019}
}
We consider the development of hyperbolic transport models for the propagation in space of an epidemic phenomenon described by a classical compartmental dynamics. The model is based on a kinetic description at discrete velocities of the spatial movement and interactions of a population of susceptible, infected and recovered individuals. Thanks to this, the unphysical feature of instantaneous diffusive effects, which is typical of parabolic models, is removed. In particular, we formally show how… 

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