The critical infection rate of the high-dimensional two-stage contact process

Xiaofeng Xue

The critical infection rate of the high-dimensional two-stage contact process

Probability 2017-11-07 v1

Authors: Xiaofeng Xue

Abstract

In this paper we are concerned with the two-stage contact process on the lattice $\mathbb{Z}^d$ introduced in \cite{Krone1999}. We gives a limit theorem of the critical infection rate of the process as the dimension $d$ of the lattice grows to infinity. A linear system and a two-stage SIR model are two main tools for the proof of our main result.

Keywords

two-stage contact process critical infection rate lattice $\mathbb{Z}^d$ limit theorem linear system two-stage SIR model

Cite

@article{arxiv.1711.01424,
  title  = {The critical infection rate of the high-dimensional two-stage contact process},
  author = {Xiaofeng Xue},
  journal= {arXiv preprint arXiv:1711.01424},
  year   = {2017}
}

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13 pages

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