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Extinction risk in fluctuating and heterogeneous environments
Thesis (MSc)--Stellenbosch University, 2019.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2019
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| _version_ | 1867614135487823872 |
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| access_status_str | Open Access |
| author | Tbaeen, Asmaa Omer Tiraab |
| author2 | Hui, Cang |
| author_browse | Hui, Cang Tbaeen, Asmaa Omer Tiraab |
| author_facet | Hui, Cang Tbaeen, Asmaa Omer Tiraab |
| author_sort | Tbaeen, Asmaa Omer Tiraab |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MSc)--Stellenbosch University, 2019. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/106989 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:47:13.687Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/106989 Extinction risk in fluctuating and heterogeneous environments Tbaeen, Asmaa Omer Tiraab Hui, Cang Landi, Pietro Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Environmental stochasticity Demographic stochasticity Population models differential equations Stochastic population dynamics Ricker model Gompertz model Stochasticity -- Mathematical models Extinction risk Heterogeneous computing Random noise theory UCTD Thesis (MSc)--Stellenbosch University, 2019. ENGLISH SUMMARY: We model the effects of demographic and environmental stochasticity in the logistic, Gompertz and Ricker models. We focus on factors affecting extinc- tion risk in a lone population as well as in pairs of competing populations. A thorough numerical analysis of extinction probability is given. We find that colored environmental noise causes reductions in extinction risk, and that correlation between the environmental noise experienced by two compet- ing populations increases extinction risk. The Ricker model exhibits a high rate of persistence in comparison with the logistic and Gompertz models. AFRIKAANS OPSOMMING: Ons hoofdoelwit is om die bevolkingsdinamika in veranderlike omgewing te bestudeer. Ons beskou demografiese en omgewingsstogastisiteit in die logistieke, Gompertz- en Ricker modelle. Ons ondersoek die dinamiek van ’n enkele bevolking en kompetisie in tweebevolkings modelle. ’n Deeglike numeriese analise van uitwissing waarskynlikheide word gegee. Ons toon aan dat die Ricker-model ’n hoë tempo van voortbestaan toon in vergely- king met die logistieke en Gompertz-modelle. Ons verken ’n reeks parame- ters deur die simulasies. Masters 2019-08-05T08:26:43Z 2019-12-11T06:41:57Z 2022-01-01T03:00:12Z 2019-12 Thesis http://hdl.handle.net/10019.1/106989 en_ZA Stellenbosch University xvii, 80 pages : illustrations application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Environmental stochasticity Demographic stochasticity Population models differential equations Stochastic population dynamics Ricker model Gompertz model Stochasticity -- Mathematical models Extinction risk Heterogeneous computing Random noise theory UCTD Tbaeen, Asmaa Omer Tiraab Extinction risk in fluctuating and heterogeneous environments |
| title | Extinction risk in fluctuating and heterogeneous environments |
| title_full | Extinction risk in fluctuating and heterogeneous environments |
| title_fullStr | Extinction risk in fluctuating and heterogeneous environments |
| title_full_unstemmed | Extinction risk in fluctuating and heterogeneous environments |
| title_short | Extinction risk in fluctuating and heterogeneous environments |
| title_sort | extinction risk in fluctuating and heterogeneous environments |
| topic | Environmental stochasticity Demographic stochasticity Population models differential equations Stochastic population dynamics Ricker model Gompertz model Stochasticity -- Mathematical models Extinction risk Heterogeneous computing Random noise theory UCTD |
| url | http://hdl.handle.net/10019.1/106989 |
| work_keys_str_mv | AT tbaeenasmaaomertiraab extinctionriskinfluctuatingandheterogeneousenvironments |