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Numerical Solution of Stochastic Differential Equations by use of Path Integration: A study of a stochastic Lotka-Volterra model

Halvorsen, Gaute
Master thesis
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URI
http://hdl.handle.net/11250/246576
Date
2011
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  • Institutt for fysikk [1751]
Abstract
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.
Publisher
Institutt for matematiske fag

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