Asymptotic behaviors of upper invariant measures for high-dimensional threshold-one contact processes

Xiaofeng Xue

Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C

Abstract: In this paper, we are concerned with the threshold-one contact process on Zd. We give a limit theorem of the probability of the event that the origin is occupied for the upper invariant measure of the process as the dimension d grows to infinity while the infection rate is inversely proportional to d. A branching process and a SIR model are introduced as auxiliary processes for the proof of our main result.

Keywords: Asymptotic behaviors; Threshold one; Invariant measure; Contact process (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307708

DOI: 10.1016/j.physa.2019.121291

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