Title:
Inherited Fitness in the Hawk-Dove Model
Authors:
Do, Hao; Liu, Yixin; Jackson, Craig
Publisher:
Denison University
DATE ISSUED:
19-Nov-2011
PERMANENT LINK:
http://hdl.handle.net/2374.DEN/3929; http://hdl.handle.net/2374
Type:
Article
Language:
en_US
Description:
We examine a generalization of the standard Hawk- Dove evolutionary model in which we incorporate a proportional inheritance of Darwinian fitness. We discuss the behavior of the model analytically and numerically and, in particular, find regions of the parameter space corresponding to stable equilibria. We show a dependence of these equilibria on the relative values of the inheritance parameters and show the existence of periodic orbits not present in the original. Further, we show that fixed initial fitness values need not be assumed, as they are in the standard model, since these equilibrium fitness values will be sought out by the model itself. This demonstrates that frequency-based models may be resilient to certain changes in assumptions of inheritance mechanisms.
Appears in Collections:
Proceedings: 2011 Midstates Conference for Undergraduate Research in Computer Science and Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorDo, Haoen
dc.contributor.authorLiu, Yixinen
dc.contributor.authorJackson, Craigen
dc.coverage.spatialUSA - Ohio - Licking - Granvilleen_US
dc.date.accessioned2012-10-11T18:32:45Zen
dc.date.accessioned2013-12-18T22:13:33Z-
dc.date.available2012-10-11T18:32:45Zen
dc.date.available2013-12-18T22:13:33Z-
dc.date.created2011-11-19en
dc.date.issued2011-11-19en
dc.identifier.urihttp://hdl.handle.net/2374.DEN/3929en
dc.identifier.urihttp://hdl.handle.net/2374-
dc.descriptionWe examine a generalization of the standard Hawk- Dove evolutionary model in which we incorporate a proportional inheritance of Darwinian fitness. We discuss the behavior of the model analytically and numerically and, in particular, find regions of the parameter space corresponding to stable equilibria. We show a dependence of these equilibria on the relative values of the inheritance parameters and show the existence of periodic orbits not present in the original. Further, we show that fixed initial fitness values need not be assumed, as they are in the standard model, since these equilibrium fitness values will be sought out by the model itself. This demonstrates that frequency-based models may be resilient to certain changes in assumptions of inheritance mechanisms.en_US
dc.language.isoen_USen_US
dc.publisherDenison Universityen_US
dc.relation.ispartofProceedings of the 2011 Midstates Conference on Undergraduate Research in Computer Science and Mathematicsen_US
dc.titleInherited Fitness in the Hawk-Dove Modelen_US
dc.typeArticleen_US
dc.contributor.institutionDenison Universityen_US
dc.contributor.repositoryDenison DRCen_US
dc.publisher.digitalDenison Universityen_US
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