Stability of ecological communities with antagonistic interactions

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dc.contributor.advisorHui, Cangen_ZA
dc.contributor.advisorLandi, Pietroen_ZA
dc.contributor.authorKubyana, Mmatlou Simeonen_ZA
dc.contributor.otherStellenbosch University. Faculty of Science. Dept. of Mathematical Sciences.en_ZA
dc.date.accessioned2020-02-17T13:24:15Z
dc.date.accessioned2020-04-28T15:12:58Z
dc.date.available2020-02-17T13:24:15Z
dc.date.available2020-04-28T15:12:58Z
dc.date.issued2020-03
dc.descriptionThesis (MSc)--Stellenbosch University, 2020.en_ZA
dc.description.abstractENGLISH ABSTRACT: Stability of large ecological systems has been a focus of theoretical ecology for more than 40 years. Here I review the stability criteria for large communities with antagonistic interactions. I show how dispersal can affect the stability of these interactions using eigenvalues distribution in the complex plane. I further consider a more realistic model, in particular, the logistic population growth with Holling type II functional response and their effect on community stability. I conclude by enumerating basic dynamical characteristics whose properties bring a clear understanding on how stability of large antagonistic ecological networks can be improved. My results highlight that dispersal and density dependence are stabilising while Holling type II functional response is destabilising.en_ZA
dc.description.abstractAFRIKAANSE OPSOMMING: Geen opsomming beskikbaar.af_ZA
dc.description.versionMastersen_ZA
dc.embargo.terms2020-12-31
dc.format.extentx, 95 pages : illustrationsen_ZA
dc.identifier.urihttp://hdl.handle.net/10019.1/108416
dc.language.isoen_ZAen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectEcological systems -- Mathematical modelsen_ZA
dc.subjectEigenvaluesen_ZA
dc.subjectBiotic communities -- Mathematical modelsen_ZA
dc.subjectLogistic distributionen_ZA
dc.subjectFunctional responseen_ZA
dc.subjectAntagonistic ecological networks -- Mathematical modelsen_ZA
dc.subjectUCTD
dc.titleStability of ecological communities with antagonistic interactionsen_ZA
dc.typeThesisen_ZA
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