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The characteristic approach in determining first integrals of a predator-prey system.

dc.contributor.advisorNarain, Rivendra Basanth.
dc.contributor.authorMahomed, Abu Bakr.
dc.date.accessioned2018-12-12T08:30:36Z
dc.date.available2018-12-12T08:30:36Z
dc.date.created2016
dc.date.issued2016
dc.descriptionMaster of Science in Mathematics, Statistics and Computer Science. University of KwaZulu-Natal, Durban 2016.en_US
dc.description.abstractPredator-Prey systems are an intriguing symbiosis of living species that interplay during the fluctuations of birth, growth and death during any period. In the light of understanding the behavioural patterns of the species, models are constructed via differential equations. These differential equations can be solved through a variety of techniques. We focus on applying the characteristic method via the multiplier approach. The multiplier is applied to the differential equation. This leads to a first integral which can be used to obtain a solution for the system under certain initial conditions. We then look at the comparison of first integrals by using two different approaches for various biological models. The method of the Jacobi Last Multiplier is used to obtain a Lagrangian. The Lagrangian can be used via Noether’s Theorem to obtain a first integral for the system.en_US
dc.identifier.urihttp://hdl.handle.net/10413/15916
dc.language.isoen_ZAen_US
dc.subjectTheses - Applied Mathematics.en_US
dc.subject.otherFirst integrals.en_US
dc.subject.otherMathematics Biology.en_US
dc.subject.otherNoether’s Theorem.en_US
dc.subject.otherLotka Volterra.en_US
dc.subject.otherDifferential equations.en_US
dc.titleThe characteristic approach in determining first integrals of a predator-prey system.en_US
dc.typeThesisen_US

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