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.