Gómez-Corral, A and Lopez Garcia, M orcid.org/0000-0003-3833-8595 (2018) A within-host stochastic model for nematode infection. Mathematics, 6 (9). 143. ISSN 2227-7390
Abstract
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 t0 , 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 t0 when these strategies should be applied.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/) |
Keywords: | host-parasite interaction; nematode infection; nonhomogeneous Poisson process; seasonal environment; Strang–Marchuk splitting approach |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 31 Aug 2018 11:38 |
Last Modified: | 25 Jun 2023 21:29 |
Status: | Published |
Publisher: | MDPI |
Identification Number: | 10.3390/math6090143 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:134892 |