dc.contributor.author Wickramage, Shyamila Iroshi Perera dc.date.accessioned 2013-07-26 19:13:56 (GMT) dc.date.available 2013-07-26 19:13:56 (GMT) dc.date.issued 2013-07-26T19:13:56Z dc.date.submitted 2013 dc.identifier.uri http://hdl.handle.net/10012/7664 dc.description.abstract Sea-ice ecosystem modelling is a novel field of research. In this thesis, the main organism studied is sea-ice algae. A basic introduction to algae and its importance in the aquatic food web is given first. An introduction to modeling and its purposes is presented, and this is followed by a brief description of ice algae models in practice with some physical conditions which influence ecosystem modelling. In the following Chapter, a simple mathematical model to represent the algae population is derived, and analyzed using pseudo spectral numerical methods implemented with MATLAB. The behaviour of the algae population and the boundary layers are discussed by examining the numerical results. Perturbation and asymptotic analysis is used for further analysis of the system using Maple. In the following Chapter a Nutrient Phytoplankton Zooplankton Detritus (or NPZD) model, which is a commonly used type of model in marine ecosystem modelling, is developed based on the framework of Soetaert and Herman. The model is examined under five different experimental setups (herein we mean numerical experiments) and the results are discussed. The NPZD model implemented is compared with a well-studied model in the literature. Our model can be considered somewhat simpler than other models in the literature (though it still has a much larger parameter space than the idealized model discussed in the previous Chapter). Finally we discuss future directions for research. en dc.language.iso en en dc.publisher University of Waterloo en dc.subject Mathematical Modelling en dc.subject Numerical Methods en dc.subject Ice Algae en dc.title Mathematical Modelling and Numerical Simulation of Marine Ecosystems With Applications to Ice Algae en dc.type Master Thesis en dc.pending false en dc.subject.program Applied Mathematics en uws-etd.degree.department Applied Mathematics en uws-etd.degree Master of Mathematics en uws.typeOfResource Text en uws.peerReviewStatus Unreviewed en uws.scholarLevel Graduate en
﻿

### This item appears in the following Collection(s)

UWSpace

University of Waterloo Library
200 University Avenue West