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On the variance mean ratio in models of parasite distributions
- Source :
- Advances in Applied Probability; September 2000, Vol. 32 Issue: 3 p701-719, 19p
- Publication Year :
- 2000
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 00018678 and 14756064
- Volume :
- 32
- Issue :
- 3
- Database :
- Supplemental Index
- Journal :
- Advances in Applied Probability
- Publication Type :
- Periodical
- Accession number :
- ejs40609339
- Full Text :
- https://doi.org/10.1017/S0001867800010211