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Long time behaviour of population models.

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Date

2010

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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.

Description

Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2010.

Keywords

Matrices., Population biology., Theses--Mathematics.

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