A within-host stochastic model for nematode infection
type: Item
instance of: scholarly article
title: A within-host stochastic model for nematode infection
zbMATH Open document ID: 1404.92183
author: A. Gómez-Corral
author: Martín López-García
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: We propose a stochastic model for the development of gastrointestinal nematode infection in growing lambs under the assumption that nonhomogeneous Poisson processes govern the acquisition of parasites, the parasite-induced host mortality, the natural (no parasite-induced) host mortality and the death of parasites within the host. By means of considering a number of age-dependent birth and death processes with killing, we analyse the impact of grazing strategies that are defined in terms of an intervention instant \(t_0\), which might imply a move of the host to safe pasture and/or anthelmintic treatment. The efficacy and cost of each grazing strategy are defined in terms of the transient probabilities of the underlying stochastic processes, which are computed by means of Strang-Marchuk splitting techniques. Our model, calibrated with empirical data from Uriarte et al and Nasreen et al., regarding the seasonal presence of nematodes on pasture in temperate zones and anthelmintic efficacy, supports the use of dose-and-move strategies in temperate zones during summer and provides stochastic criteria for selecting the exact optimum time instant \(t_0\) when these strategies should be applied.
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6994707
zbMATH Keywords: host-parasite interaction
zbMATH Keywords: nematode infection
zbMATH Keywords: nonhomogeneous Poisson process
zbMATH Keywords: seasonal environment
zbMATH Keywords: Strang-Marchuk splitting approach
MaRDI profile type: Publication
full work available at URL: math6090143
OpenAlex ID: W2888192756
Wikidata QID: Q58421727
cites work: Q4399834
cites work: Q3988069
cites work: Q4013393
cites work: Q3068202
cites work: Control strategies for a stochastic model of host-parasite interaction in a seasonal environment
cites work: On the order of operator splitting methods for time-dependent linear systems of differential equations
DOI: 10.3390/MATH6090143
description: scientific article; zbMATH DE number 6994707