Analysis of a dynamical system of animal growth and composition : a thesis submitted in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Albany, New Zealand

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dc.contributor.authorAbdul Latif, Nurul Syaza
dc.date.accessioned2010-09-16T02:30:39Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2010-09-16T02:30:39Z
dc.date.issued2010
dc.description.abstractThis thesis investigates the analysis of the extended model of animal growth proposed by Oliviera et al (personal communication, July 2009). This mechanistic model of animal growth based on a detailed representation of energy dynamics focussing on the interaction between four compartment of body composition; nutrient level, fat content, visceral protein and non-visceral protein. The model is mathematically analysed and the behaviour of the model for different feeding level is examined. The animal growth model exhibits thresholds typical of nonlinear systems and multiple stable steady states which have distinct basins of stability which depend on the value of the large number of physiologically-determined parameters. These have not been previously explored theoretically and these are done in this thesis. The model demonstrates richer behaviour where path-following techniques are used to explore the distribution in parameter space of the varying phenomenology.en_US
dc.identifier.urihttp://hdl.handle.net/10179/1654
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectDynamical systemsen_US
dc.subjectMathematical modelsen_US
dc.subjectAnimal growthen_US
dc.subject.otherFields of Research::230000 Mathematical Sciences::230100 Mathematics::230113 Dynamical systemsen_US
dc.titleAnalysis of a dynamical system of animal growth and composition : a thesis submitted in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Albany, New Zealanden_US
dc.typeThesisen_US
massey.contributor.authorAbdul Latif, Nurul Syaza
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorMassey Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Science (M.Sc.)en_US
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