Universität zu Köln

Moore, Sam, Morters, Peter ORCID: 0000-0002-8917-3789 and Rogers, Tim ORCID: 0000-0002-5733-1658 (2018). A Re-entrant Phase Transition in the Survival of Secondary Infections on Networks. J. Stat. Phys., 171 (6). S. 1122 - 1136. NEW YORK: SPRINGER. ISSN 1572-9613

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Abstract

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped to a branching process spreading in a random time-sensitive environment, determined by the dynamics of the underlying primary infection. When both epidemics follow the Susceptible-Infective-Recovered model, we show that in order to survive, it is necessary for the secondary infection to evolve on a timescale that is closely matched to that of the primary infection on which it depends.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Moore, Sam UNSPECIFIED UNSPECIFIED UNSPECIFIED Morters, Peter UNSPECIFIED orcid.org/0000-0002-8917-3789 UNSPECIFIED Rogers, Tim UNSPECIFIED orcid.org/0000-0002-5733-1658 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-185393
DOI:	10.1007/s10955-018-2050-9
Journal or Publication Title:	J. Stat. Phys.
Volume:	171
Number:	6
Page Range:	S. 1122 - 1136
Date:	2018
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1572-9613
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BESSEL Multiple languages Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18539