2026-07-05T10:19:13Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/124342023-08-06T01:20:52Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Gómez-Corral, Antonio
author
López-García, M.
2023-06-17T12:32:24Z
2023-06-17T12:32:24Z
2018-08-21
2227-7390
10.3390/math6090143
https://hdl.handle.net/20.500.14352/12434
https://doi.org/10.3390/math6090143
https://www.mdpi.com/2227-7390/6/9/143
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 t (sub index 0) when these strategies should be applied.
eng
Atribución 3.0 España
A Within-Host Stochastic Model for Nematode Infection
journal article
URL
https://docta.ucm.es/bitstreams/4dc155a8-c267-413f-86a3-146903edaf57/download
File
MD5
8917fdd97085f9658b2ed76f0e865de8
5930173
application/pdf
mathematics-06-00143.pdf