PDE-limits of stochastic SIS epidemics on networks

@article{Lauro2020PDElimitsOS,
  title={PDE-limits of stochastic SIS epidemics on networks},
  author={Frances Di Lauro and J. Croix and L. Berthouze and I. Kiss},
  journal={arXiv: Populations and Evolution},
  year={2020}
}
Stochastic epidemic models on networks are inherently high-dimensional and the resulting exact models are intractable numerically even for modest network sizes. Mean-field models provide an alternative but can only capture average quantities, thus offering little or no information about variability in the outcome of the exact process. In this paper we conjecture and numerically prove that it is possible to construct PDE-limits of the exact stochastic SIS epidemics on regular and Erdős-Renyi… Expand

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