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.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:ntnu-14421 |
| Date | January 2011 |
| Creators | Halvorsen, Gaute |
| Publisher | Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, Institutt for matematiske fag |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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