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- W2276318609 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. Preface and Declaration The work described in this thesis was carried out in the School of Mathematical Sciences, University of KwaZulu-Natal, Durban, from July 2008 to November 2009 under the supervision of Professor Jacek Banasiak and Dr. Robert Willie. The studies done in this thesis are the original work of the author and have not been submitted in whole or in parts for any degree or diploma in any tertially institution. Where use of the work of others has been made, proper citation has been done. Signed: Proscovia Namayanja 20 January 2010 As the candidate’s supervisor, I have approved this dissertation for submission. Signed: Prof. J. Banasiak 20 January 2010 Signed: Dr. R. Willie 20 January 2010" @default.
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- W2276318609 date "2010-01-01" @default.
- W2276318609 modified "2023-09-24" @default.
- W2276318609 title "Long time Behaviour of Population Models" @default.
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