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dc.contributor.advisorBanasiak, Jacek.
dc.creatorPhongi, Eddy Kimba.
dc.date.accessioned2010-08-20T10:17:33Z
dc.date.available2010-08-20T10:17:33Z
dc.date.created2009
dc.date.issued2009
dc.identifier.urihttp://hdl.handle.net/10413/431
dc.descriptionThesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2009.
dc.description.abstractThere are basically two types of variables in population modelling, global and local variables. The former describes the behavior of the entire population while the latter describes the behavior of individuals within this population. The description of the population using local variables is more detailed, but it is also computationally costly. In many cases to study the dynamics of this population, it is sufficient to focus only on global variables. In applied sciences, to achieve this, the method of aggregation of variables is used. One of methods used to mathematically justify variables aggregation is the centre manifold theory. In this dissertation we provide detailed proofs of basic results of the centre manifold theory and discuss some examples of applications in population modelling.
dc.language.isoenen_US
dc.subjectManifolds (Mathematics)
dc.subjectTheses--Mathematics.en_US
dc.titleCentre manifold theory with an application in population modelling.
dc.typeThesisen_US


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