Dynamics of Competition using a Bit String Model with Age Structure and Mutations

Astalos, Robert Joseph

Dynamics of Competition using a Bit String Model with Age Structure and Mutations

dc.contributor.author	Astalos, Robert Joseph	en
dc.contributor.committeechair	Zia, Royce K. P.	en
dc.contributor.committeemember	Tauber, Uwe C.	en
dc.contributor.committeemember	Schmittmann, Beate	en
dc.contributor.committeemember	Indebetouw, Guy J.	en
dc.contributor.committeemember	Hagedorn, George A.	en
dc.contributor.department	Physics	en
dc.date.accessioned	2014-03-14T20:10:01Z	en
dc.date.adate	2001-04-20	en
dc.date.available	2014-03-14T20:10:01Z	en
dc.date.issued	2001-04-17	en
dc.date.rdate	2002-04-20	en
dc.date.sdate	2001-04-19	en
dc.description.abstract	Using Monte Carlo simulations and analytic methods, we examine the dynamics of inter-species competition using the Penna bit-string model. We begin with a study of the steady state with a single species, then proceed to the dynamics of competition between two species. When the species are not evenly matched in fitness, a simple differential equation provides a satisfactory model of the behavior of the system. However, when the species are equally fit, we show that a model, originally proposed to describe population genetics [Fisher,Wright], is required. When mutations are allowed between the competing species, the dynamics becomes more interesting. The mutation rate becomes a parameter that dictates the steady state behavior. If the two species are not equally fit, the value of the mutation rate determines whether the longer-lived or faster reproducing species is favored. With two species that are equally fit, the steady state varies with mutation rate from a single peaked to a double peaked distribution. This behavior is shown to be well described by an extension to the Fisher-Wright model mentioned above. Finally, we describe the preliminary results of a few new lines of investigation, and suggest ideas for further study of the dynamics of this model.	en
dc.description.degree	Ph. D.	en
dc.identifier.other	etd-04192001-141911	en
dc.identifier.sourceurl	http://scholar.lib.vt.edu/theses/available/etd-04192001-141911/	en
dc.identifier.uri	http://hdl.handle.net/10919/26986	en
dc.publisher	Virginia Tech	en
dc.relation.haspart	Mu01DiffN.avi	en
dc.relation.haspart	NoMutEqualN.avi	en
dc.relation.haspart	thesis.pdf	en
dc.relation.haspart	Mu1DiffN.avi	en
dc.relation.haspart	NoMutDiffN.avi	en
dc.rights	In Copyright	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject	Bit-string Model	en
dc.subject	Age Structure	en
dc.subject	Monte Carlo	en
dc.subject	Interspecies Competition	en
dc.title	Dynamics of Competition using a Bit String Model with Age Structure and Mutations	en
dc.type	Dissertation	en
thesis.degree.discipline	Physics	en
thesis.degree.grantor	Virginia Polytechnic Institute and State University	en
thesis.degree.level	doctoral	en
thesis.degree.name	Ph. D.	en