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The effect of conspecific support on the asymptotic properties of competing species
Dissertation (MSc)--University of Pretoria, 2018.
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| Other Authors: | |
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2019
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| _version_ | 1867613449800908800 |
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| access_status_str | Open Access |
| author2 | Anguelov, Roumen |
| author_browse | Anguelov, Roumen |
| author_facet | Anguelov, Roumen |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (MSc)--University of Pretoria, 2018. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/70469 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:19.976Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/70469 The effect of conspecific support on the asymptotic properties of competing species Anguelov, Roumen u17254982@tuks.co.za Phiri, Avulundiah Edwin UCTD Dissertation (MSc)--University of Pretoria, 2018. The 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. Mathematics and Applied Mathematics MSc Unrestricted 2019-07-08T09:46:30Z 2019-07-08T09:46:30Z 2019/04/09 2018 Dissertation Phiri, 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> A2019 http://hdl.handle.net/2263/70469 en © 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. application/pdf University of Pretoria |
| spellingShingle | UCTD The effect of conspecific support on the asymptotic properties of competing species |
| title | The effect of conspecific support on the asymptotic properties of competing species |
| title_full | The effect of conspecific support on the asymptotic properties of competing species |
| title_fullStr | The effect of conspecific support on the asymptotic properties of competing species |
| title_full_unstemmed | The effect of conspecific support on the asymptotic properties of competing species |
| title_short | The effect of conspecific support on the asymptotic properties of competing species |
| title_sort | effect of conspecific support on the asymptotic properties of competing species |
| topic | UCTD |
| url | http://hdl.handle.net/2263/70469 |