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Stability of ecological communities with antagonistic interactions

Thesis (MSc)--Stellenbosch University, 2020.

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Bibliographic Details
Main Author: Kubyana, Mmatlou Simeon
Other Authors: Hui, Cang
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2020
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access_status_str Open Access
author Kubyana, Mmatlou Simeon
author2 Hui, Cang
author_browse Hui, Cang
Kubyana, Mmatlou Simeon
author_facet Hui, Cang
Kubyana, Mmatlou Simeon
author_sort Kubyana, Mmatlou Simeon
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MSc)--Stellenbosch University, 2020.
format Thesis
id oai:scholar.sun.ac.za:10019.1/108416
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:41:37.777Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2020
publishDateRange 2020
publishDateSort 2020
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/108416 Stability of ecological communities with antagonistic interactions Kubyana, Mmatlou Simeon Hui, Cang Landi, Pietro Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Ecological systems -- Mathematical models Eigenvalues Biotic communities -- Mathematical models Logistic distribution Functional response Antagonistic ecological networks -- Mathematical models UCTD Thesis (MSc)--Stellenbosch University, 2020. ENGLISH 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. AFRIKAANSE OPSOMMING: Geen opsomming beskikbaar. Masters 2020-02-17T13:24:15Z 2020-04-28T15:12:58Z 2020-02-17T13:24:15Z 2020-04-28T15:12:58Z 2020-03 Thesis http://hdl.handle.net/10019.1/108416 en_ZA Stellenbosch University x, 95 pages : illustrations application/pdf Stellenbosch : Stellenbosch University
spellingShingle Ecological systems -- Mathematical models
Eigenvalues
Biotic communities -- Mathematical models
Logistic distribution
Functional response
Antagonistic ecological networks -- Mathematical models
UCTD
Kubyana, Mmatlou Simeon
Stability of ecological communities with antagonistic interactions
title Stability of ecological communities with antagonistic interactions
title_full Stability of ecological communities with antagonistic interactions
title_fullStr Stability of ecological communities with antagonistic interactions
title_full_unstemmed Stability of ecological communities with antagonistic interactions
title_short Stability of ecological communities with antagonistic interactions
title_sort stability of ecological communities with antagonistic interactions
topic Ecological systems -- Mathematical models
Eigenvalues
Biotic communities -- Mathematical models
Logistic distribution
Functional response
Antagonistic ecological networks -- Mathematical models
UCTD
url http://hdl.handle.net/10019.1/108416
work_keys_str_mv AT kubyanammatlousimeon stabilityofecologicalcommunitieswithantagonisticinteractions