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dc.contributor.advisorBanasiak, Jacek.
dc.creatorAbdalla, Suliman Jamiel Mohamed.
dc.date.accessioned2014-05-12T13:03:05Z
dc.date.available2014-05-12T13:03:05Z
dc.date.created2013
dc.date.issued2013
dc.identifier.urihttp://hdl.handle.net/10413/10697
dc.descriptionThesis (M.Sc.)-University of KwaZulu-Natal, Durban, 2013.en
dc.description.abstractNon-negative matrices arise naturally in population models. In this thesis, we first study Perron- Frobenius theory of non-negative irreducible matrices. We use this theory to investigate the asymptotic behaviour of discrete time linear autonomous models. Then we discuss an application for this in age structured population. Furthermore, we study Liapunov stability of a general non-linear autonomous model. We consider a general nonlinear autonomous model that arises in structured population. We assume that the associated nonlinear matrix of this model is non-increasing at all density levels. Then, we show the existence of global extinction. In addition, we show the stability condition of the extinction equilibrium of the this model in the Liapunov sense.en
dc.language.isoen_ZAen
dc.subjectMatrices.en
dc.subjectNonlinear difference equations.en
dc.subjectTheses--Applied mathematics.en
dc.titleMatrix models of population theory.en
dc.typeThesisen


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