Corpus ID: 220647218

From individual-based epidemic models to McKendrick-von Foerster PDEs: A guide to modeling and inferring COVID-19 dynamics.

@article{FoutelRodier2020FromIE,
  title={From individual-based epidemic models to McKendrick-von Foerster PDEs: A guide to modeling and inferring COVID-19 dynamics.},
  author={F'elix Foutel-Rodier and F. Blanquart and Philibert Courau and P. Czuppon and Jean-Jil Duchamps and Jasmine Gamblin and 'Elise Kerdoncuff and Robert Kulathinal and L'eo R'egnier and Laura Vuduc and A. Lambert and E. Schertzer},
  journal={arXiv: Populations and Evolution},
  year={2020}
}
We present a unifying, tractable approach for studying the spread of viruses causing complex diseases that require to be modeled using a large number of types (e.g., infective stage, clinical state, risk factor class). We show that recording each infected individual's infection age, i.e., the time elapsed since infection, 1. The age distribution $n(t, a)$ of the population at time $t$ can be described by means of a first-order, one-dimensional partial differential equation (PDE) known as the… Expand

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