An investigation into predator-prey systems

Hdl Handle:
http://hdl.handle.net/10034/620307
Title:
An investigation into predator-prey systems
Authors:
Nixon, Issac J. N.
Abstract:
This paper looked at how to obtain quantitative information about the behaviour of Predator-Prey models using analytical methods, we look at how to solve the Lotka-Volterra model analytically, analysed the stability and behaviour of the critical points of a bounded Lotka-Volterra model and the Holling-Tanner model and how to look for Hopf bifurcation and limit cycles in the Holling-Tanner model. We have also compared a variety of numerical methods used to solve the predator-prey models. It has also used these results to validate our ndings from our analytical analysis.
Citation:
Nixon, I. J. N. (2015). An investigation into predator-prey systems. (Master's thesis). University of Chester, United Kingdom.
Publisher:
University of Chester
Publication Date:
Oct-2015
URI:
http://hdl.handle.net/10034/620307
Type:
Thesis or dissertation
Language:
en
Appears in Collections:
Masters Dissertations

Full metadata record

DC FieldValue Language
dc.contributor.authorNixon, Issac J. N.en
dc.date.accessioned2016-12-21T16:15:54Z-
dc.date.available2016-12-21T16:15:54Z-
dc.date.issued2015-10-
dc.identifier.citationNixon, I. J. N. (2015). An investigation into predator-prey systems. (Master's thesis). University of Chester, United Kingdom.en
dc.identifier.urihttp://hdl.handle.net/10034/620307-
dc.description.abstractThis paper looked at how to obtain quantitative information about the behaviour of Predator-Prey models using analytical methods, we look at how to solve the Lotka-Volterra model analytically, analysed the stability and behaviour of the critical points of a bounded Lotka-Volterra model and the Holling-Tanner model and how to look for Hopf bifurcation and limit cycles in the Holling-Tanner model. We have also compared a variety of numerical methods used to solve the predator-prey models. It has also used these results to validate our ndings from our analytical analysis.en
dc.language.isoenen
dc.publisherUniversity of Chesteren
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectpredator-prey modelsen
dc.subjectLotka-Volterra modelen
dc.subjectHolling-Tanner modelen
dc.titleAn investigation into predator-prey systemsen
dc.typeThesis or dissertationen
dc.type.qualificationnameMScen
dc.type.qualificationlevelMasters Degreeen
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