Show simple item record

dc.contributor.authorBergland, Harald
dc.contributor.authorWyller, John Andreas
dc.contributor.authorBurlakov, Evgenii
dc.date.accessioned2019-12-05T09:45:12Z
dc.date.available2019-12-05T09:45:12Z
dc.date.issued2019-02-19
dc.description.abstractWe model pasture–livestock interactions by means of a predator–prey model, with the biomass vegetation as prey and the herbivores as predators. The harvesting rate is a sigmoidal function of the livestock density. We identify the necessary biological and harvest conditions for different equilibria of this model to exist. The system possesses no interior equilibrium points for the mortality rate exceeding a certain threshold. For the regime of low and moderate values of the mortality rate and a high consumption rate per animal, a unique finite and asymptotically stable state exists. We incorporate the effect of forage resource deterioration over time, causing extra decrease in the herbivore population and in the biomass density. We also include the effect of fluctuations in the availability of fodder by allowing for a seasonal periodic variation in the conversion efficiency. This results in extra oscillations superimposed on the general trends of the unperturbed system.en_US
dc.descriptionThis is the pre-peer reviewed version of the following article: Bergland, H., Wyller, J. & Burlakov, E. (2019). Pasture–livestock dynamics with density‐dependent harvest and changing environment. <i>Natural Resource Modeling, 32</i>(4), e12213, which has been published in final form at <a href=https://doi.org/10.1111/nrm.12213>https://doi.org/10.1111/nrm.12213</a>. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.en_US
dc.identifier.citationBergland H, Wyller J, Burlakov E. Pasture-livestock dynamics with density-dependent harvest and changing environment. Natural Resource Modeling. 2019en_US
dc.identifier.cristinIDFRIDAID 1690938
dc.identifier.doi10.1111/nrm.12213
dc.identifier.issn0890-8575
dc.identifier.issn1939-7445
dc.identifier.urihttps://hdl.handle.net/10037/16797
dc.language.isoengen_US
dc.publisherWileyen_US
dc.relation.journalNatural Resource Modeling
dc.relation.projectIDAndre: Russian Foundation for Basic Research 18‐31‐0022en_US
dc.relation.projectIDNorges forskningsråd: 239070en_US
dc.relation.projectIDAndre: Russian Foundation for Basic Research 17‐41‐680975en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/RCN/ISPNATTEK/239070/Norway/Mathematical research at Norwegian University of Life Sciences//en_US
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Social science: 200en_US
dc.subjectVDP::Samfunnsvitenskap: 200en_US
dc.titlePasture-livestock dynamics with density-dependent harvest and changing environmenten_US
dc.type.versionsubmittedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US


File(s) in this item

Thumbnail

This item appears in the following collection(s)

Show simple item record