Exponential Extinction Time of the Contact Process on Rank-One Inhomogeneous Random Graphs

Can Van Hao ()
Additional contact information
Can Van Hao: Aix Marseille Université

Journal of Theoretical Probability, 2019, vol. 32, issue 1, 106-130

Abstract: Abstract We show that the contact process on the rank-one inhomogeneous random graphs and Erdos–Rényi graphs with mean degree large enough survives a time exponential in the size of these graphs for any positive infection rate. In addition, a metastable result for the extinction time is also proved.

Keywords: Contact process; Inhomogeneous random graphs; Erdos–Rényi random graphs; Extinction time; 82C22; 05C80 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-017-0786-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:jotpro:v:32:y:2019:i:1:d:10.1007_s10959-017-0786-9

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-017-0786-9

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().