RT Journal Article
T1 A Within-Host Stochastic Model for Nematode Infection
A1 Gómez-Corral, Antonio
A1 López-García, M.
AB 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.
PB MDPI
SN 2227-7390
YR 2018
FD 2018-08-21
LK https://hdl.handle.net/20.500.14352/12434
UL https://hdl.handle.net/20.500.14352/12434
LA eng
NO This article belongs to the Special Issue Stochastic Processes with Applications
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 11 may 2025