Non-negative matrices arise naturally in population models. In this thesis, we look at the theory
of such matrices and we study the Perron-Frobenius type theorems regarding their spectral
properties. We use these theorems to investigate the asymptotic behaviour of solutions to
continuous time problems arising in population biology. In particular, we provide a description
of long-time behaviour of populations depending on the nature of the associated matrix. Finally,
we describe a few applications to population biology. / Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2010.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:ukzn/oai:http://researchspace.ukzn.ac.za:10413/8308 |
| Date | January 2010 |
| Creators | Namayanja, Proscovia. |
| Contributors | Banasiak, Jacek., Willie, Robert. |
| Source Sets | South African National ETD Portal |
| Language | en_ZA |
| Detected Language | English |
| Type | Thesis |
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