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Thesis (MSc)--Stellenbosch University, 2020.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2020
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| _version_ | 1867613782992224256 |
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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 |