Contact process under renewals II

Luiz Renato Fontes, Thomas S. Mountford and Maria Eulália Vares

Stochastic Processes and their Applications, 2020, vol. 130, issue 2, 1103-1118

Abstract: We continue the study of renewal contact processes initiated in a companion paper, where we showed that if the tail of the interarrival distribution μ is heavier than t−α for some α<1 (plus auxiliary regularity conditions) then the critical value vanishes. In this paper we show that if μ has decreasing hazard rate and tail bounded by t−α with α>1, then the critical value is positive in the one-dimensional case. A more robust and much simpler argument shows that the critical value is positive in any dimension whenever the interarrival distribution has a finite second moment.

Keywords: Contact process; Percolation; Renewal process (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304414919302522
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:130:y:2020:i:2:p:1103-1118

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spa.2019.04.008

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().