The effect of conspecific support on the asymptotic properties of competing species

dc.contributor.advisorAnguelov, Roumen
dc.contributor.emailu17254982@tuks.co.za
dc.contributor.postgraduatePhiri, Avulundiah Edwin
dc.date.accessioned2019-07-08T09:46:30Z
dc.date.available2019-07-08T09:46:30Z
dc.date.created2019/04/09
dc.date.issued2018
dc.descriptionDissertation (MSc)--University of Pretoria, 2018.
dc.description.abstractThe long term properties, like coexistence and extinction, are usually determined by the demographics of the competing species or other competitive advantages. In this dissertation we consider the effect of conspecific support on the coexistence of species. We show that, even if the competing species have the same demographics and interaction, their coexistence can be destabilized by sufficient level of conspecific support. When considering large number of species the conspecific support destabilizes the coexistance equilibrium, thus producing a pattern of extinction and varied levels of existence. Up-scaling the model to continuous space variable leads to a model of pattern formation via local self-activation and lateral inhibition.
dc.description.availabilityUnrestricted
dc.description.degreeMSc
dc.description.departmentMathematics and Applied Mathematics
dc.identifier.citationPhiri, AE 2018, The effect of conspecific support on the asymptotic properties of competing species, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/70469>
dc.identifier.otherA2019
dc.identifier.urihttp://hdl.handle.net/2263/70469
dc.language.isoen
dc.publisherUniversity of Pretoria
dc.rights© 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.
dc.subjectUCTD
dc.titleThe effect of conspecific support on the asymptotic properties of competing species
dc.typeDissertation

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