Long time behaviour of population models.
| dc.contributor.advisor | Banasiak, Jacek. | |
| dc.contributor.advisor | Willie, Robert. | |
| dc.contributor.author | Namayanja, Proscovia. | |
| dc.date.accessioned | 2013-01-16T09:28:48Z | |
| dc.date.available | 2013-01-16T09:28:48Z | |
| dc.date.created | 2010 | |
| dc.date.issued | 2010 | |
| dc.description | Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2010. | en |
| dc.description.abstract | 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. | en |
| dc.identifier.uri | http://hdl.handle.net/10413/8308 | |
| dc.language.iso | en_ZA | en |
| dc.subject | Matrices. | en |
| dc.subject | Population biology. | en |
| dc.subject | Theses--Mathematics. | en |
| dc.title | Long time behaviour of population models. | en |
| dc.type | Thesis | en |