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    • School Mathematics, Statistics and Computer Science
    • Pure Mathematics
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    Centre manifold theory with an application in population modelling.

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    EddyKimbaMSc.pdf (319.8Kb)
    Date
    2009
    Author
    Phongi, Eddy Kimba.
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    Abstract
    There 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.
    URI
    http://hdl.handle.net/10413/431
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    • Masters Degrees (Pure Mathematics) [24]

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