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

Xiaofeng Xue

Statistics & Probability Letters, 2018, vol. 140, issue C, 115-125

Abstract: In this paper we are concerned with the two-stage contact process on the lattice Zd introduced in Krone (1999). We give 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: Contact process; Infection rate; SIR model (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:140:y:2018:i:c:p:115-125

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DOI: 10.1016/j.spl.2018.05.006

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