Extinction risk in fluctuating and heterogeneous environments

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dc.contributor.advisorHui, Cangen_ZA
dc.contributor.advisorLandi, Pietroen_ZA
dc.contributor.authorTbaeen, Asmaa Omer Tiraaben_ZA
dc.contributor.otherStellenbosch University. Faculty of Science. Dept. of Mathematical Sciences.en_ZA
dc.date.accessioned2019-08-05T08:26:43Z
dc.date.accessioned2019-12-11T06:41:57Z
dc.date.available2022-01-01T03:00:12Z
dc.date.issued2019-12
dc.descriptionThesis (MSc)--Stellenbosch University, 2019.en_ZA
dc.description.abstractENGLISH SUMMARY: We model the effects of demographic and environmental stochasticity in the logistic, Gompertz and Ricker models. We focus on factors affecting extinc- tion risk in a lone population as well as in pairs of competing populations. A thorough numerical analysis of extinction probability is given. We find that colored environmental noise causes reductions in extinction risk, and that correlation between the environmental noise experienced by two compet- ing populations increases extinction risk. The Ricker model exhibits a high rate of persistence in comparison with the logistic and Gompertz models.en_ZA
dc.description.abstractAFRIKAANS OPSOMMING: Ons hoofdoelwit is om die bevolkingsdinamika in veranderlike omgewing te bestudeer. Ons beskou demografiese en omgewingsstogastisiteit in die logistieke, Gompertz- en Ricker modelle. Ons ondersoek die dinamiek van ’n enkele bevolking en kompetisie in tweebevolkings modelle. ’n Deeglike numeriese analise van uitwissing waarskynlikheide word gegee. Ons toon aan dat die Ricker-model ’n hoë tempo van voortbestaan toon in vergely- king met die logistieke en Gompertz-modelle. Ons verken ’n reeks parame- ters deur die simulasies.af_ZA
dc.description.versionMasters
dc.embargo.terms2022-01-01
dc.format.extentxvii, 80 pages : illustrationsen_ZA
dc.identifier.urihttp://hdl.handle.net/10019.1/106989
dc.language.isoen_ZAen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectEnvironmental stochasticityen_ZA
dc.subjectDemographic stochasticityen_ZA
dc.subjectPopulation models differential equationsen_ZA
dc.subjectStochastic population dynamicsen_ZA
dc.subjectRicker modelen_ZA
dc.subjectGompertz modelen_ZA
dc.subjectStochasticity -- Mathematical modelsen_ZA
dc.subjectExtinction risken_ZA
dc.subjectHeterogeneous computingen_ZA
dc.subjectRandom noise theoryen_ZA
dc.subjectUCTDen_ZA
dc.titleExtinction risk in fluctuating and heterogeneous environmentsen_ZA
dc.typeThesisen_ZA
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