Quick Search:

uzh logo
Browse by:
bullet
bullet
bullet
bullet

Zurich Open Repository and ArchiveĀ 

Barbour, A D; Kafetzaki, M (1993). A host-parasite model yielding heterogeneous parasite loads. Journal of Mathematical Biology, 31(2):157-176.

Full text not available from this repository.

Abstract

Many models of parasitic infections lead to an approximately Poisson distribution of parasites among hosts, in stark contrast to the highly over-dispersed distributions that are usually encountered in practice. In this paper, a model is analyzed which, while assuming all individuals to be alike, can still lead to a very heterogeneous distribution of parasites among the host population. The model can be viewed as a very simple mean field interacting particle system, with the particles corresponding to the individual hosts, which behaves like an associated deterministic system when the number of hosts is large. The deterministic system describes the evolution over time of the proportions of the population with different parasite loads, and its equilibria are interpreted as typical distributions of parasites among hosts. Despite its simplicity, the model is complicated enough mathematically to leave a number of open problems.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:Overdispersion - Host-parasite system - Group infection - Schistosomiasis - Heterogeneity
Language:English
Date:1993
Deposited On:12 Apr 2010 14:26
Last Modified:23 Nov 2012 17:39
Publisher:Springer
ISSN:0303-6812
Free access at:Related URL. An embargo period may apply.
Publisher DOI:10.1007/BF00171224
Related URLs:http://user.math.uzh.ch/barbour/pub/Barbour/BKafetzaki.pdf (Author)
PubMed ID:8445348
Citations:Google Scholarā„¢

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

Repository Staff Only: item control page