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Numerical Solution of Stochastic Differential Equations by use of Path Integration: A study of a stochastic Lotka-Volterra model
Norwegian University of Science and Technology, Faculty of Natural Sciences and Technology, Department of Physics.
2011 (English)MasteroppgaveStudent thesis
Abstract [en]

Some theory of real and stochastic analysis in order to introduce the Path Integration method in terms of stochastic operators. A theorem presenting sufficient conditions for convergence of the Path Integration method is then presented. The solution of a stochastic Lotka-Volterra model of a prey-predator relationship is then discussed, with and without the predator being harvested. And finally, an adaptive algorithm designed to solve the stochastic Lotka-Volterra model well, is presented.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2011. , 91 p.
Keyword [no]
ntnudaim:6680, MTFYMA fysikk og matematikk, Industriell matematikk
URN: urn:nbn:no:ntnu:diva-14421Local ID: ntnudaim:6680OAI: diva2:453366
Available from: 2011-11-02 Created: 2011-11-02 Last updated: 2013-06-23Bibliographically approved

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