Multi-patch and multi-group epidemic models: a new framework

@article{Bichara2018MultipatchAM,
  title={Multi-patch and multi-group epidemic models: a new framework},
  author={Derdei Bichara and Abderrahman Iggidr},
  journal={Journal of Mathematical Biology},
  year={2018},
  volume={77},
  pages={107-134}
}
We develop a multi-patch and multi-group model that captures the dynamics of an infectious disease when the host is structured into an arbitrary number of groups and interacts into an arbitrary number of patches where the infection takes place. In this framework, we model host mobility that depends on its epidemiological status, by a Lagrangian approach. This framework is applied to a general SEIRS model and the basic reproduction number $${\mathcal {R}}_0$$R0 is derived. The effects of… 
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