Numerical simulation of advective Lotka-Volterra systems by discontinuous Galerkin method

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2014

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Aktaş, Senem

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In this thesis, we study numerically advection-diffusion-reaction equations arising from Lotka-Volterra models in river ecosystems characterized by unidirectional flow. We consider two and three species models which include competition, coexistence and extinction depending on the parameters. The one dimensional models are discretized by interior penalty discontinuous Galerkin model in space. For time discretization, fully implicit backward Euler method and semi-implicit IMEX-BDF methods are used. Numerical simulations for various set up parameters reveal more insight in the complicated dynamics by advective Lotka-Volterra systems.

Subject Keywords

Lotka-Volterra equations., Galerkin methods., Numerical analysis., Differential equations.

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http://etd.lib.metu.edu.tr/upload/12618397/index.pdf
https://hdl.handle.net/11511/24377

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Graduate School of Applied Mathematics, Thesis

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Citation Formats

S. Aktaş, “Numerical simulation of advective Lotka-Volterra systems by discontinuous Galerkin method,” M.S. - Master of Science, Middle East Technical University, 2014.