A Within-Host Stochastic Model for Nematode Infection

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dc.contributor.authorGómez-Corral, Antonio
dc.contributor.authorLópez-García, M.
dc.date.accessioned2023-06-17T12:32:24Z
dc.date.available2023-06-17T12:32:24Z
dc.date.issued2018-08-21
dc.descriptionThis article belongs to the Special Issue Stochastic Processes with Applications
dc.description.abstractWe 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.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/63191
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dc.identifier.doi10.3390/math6090143
dc.identifier.issn2227-7390
dc.identifier.officialurlhttps://doi.org/10.3390/math6090143
dc.identifier.relatedurlhttps://www.mdpi.com/2227-7390/6/9/143
dc.identifier.urihttps://hdl.handle.net/20.500.14352/12434
dc.issue.number9
dc.journal.titleMathematics
dc.language.isoeng
dc.page.initial143
dc.publisherMDPI
dc.relation.projectID(MTM2014-58091-P and BES-2009-018747)
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu51:57
dc.subject.cdu519.87
dc.subject.cdu595.132
dc.subject.keywordHost-parasite interaction
dc.subject.keywordNematode infection
dc.subject.keywordNonhomogeneous Poisson process
dc.subject.keywordseasonal environment
dc.subject.keywordStrang–Marchuk splitting approach.
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmEstadística aplicada
dc.subject.ucmProcesos estocásticos
dc.subject.ucmParasitología (Medicina)
dc.subject.ucmBiomatemáticas
dc.subject.unesco12 Matemáticas
dc.subject.unesco1208.08 Procesos Estocásticos
dc.subject.unesco3207.12 Parasitología
dc.subject.unesco2404 Biomatemáticas
dc.titleA Within-Host Stochastic Model for Nematode Infection
dc.typejournal article
dc.volume.number6
dspace.entity.typePublication
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