Quick Search:

uzh logo
Browse by:

The deadline for the annual report 2015 is January 31st, 2016

Zurich Open Repository and Archive

Maintenance: Tuesday, 16.2.2015, 06:00-08:00

Maintenance work on various system components of ZORA. During this time there will be a brief unavailability for about 1 hour. Please be patient.

Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-22066

Barbour, A D; Pugliese, A (2000). On the variance-to-mean ratio in models of parasite distributions. Advances in Applied Probability, 32(3):701-719.

PDF (Preprint)
View at publisher


We study the variance-to-mean ratio of the distributions of parasites among hosts for some models of parasite infection, using the cohort approach. We consider a model with density dependence in parasite mortality, and two different formulations of disease induced host mortality. We show that the distributions of parasites, conditional on host survival, converge to quasi-stationary distributions as host age increases. When there is density dependence in parasite mortality, the limiting variance-to-mean ratio is less than 1 (an `under-dispersed' distribution). In contrast, the two modes of disease induced host mortality show that either over- or underdispersed distributions may result.


5 citations in Web of Science®
6 citations in Scopus®
Google Scholar™



52 downloads since deposited on 04 Mar 2010
16 downloads since 12 months

Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Quasi-stationary distributions; models of parasitic infections; over-dispersed distributions; variance-to-mean ratio
Deposited On:04 Mar 2010 14:16
Last Modified:23 Nov 2012 14:18
Publisher:Applied Probability Trust
Publisher DOI:10.1239/aap/1013540240
Related URLs:http://www.jstor.org/stable/1428409

Users (please log in): suggest update or correction for this item

Repository Staff Only: item control page