Title page for ETD etd-04192001-141911

Type of Document Dissertation
Author Astalos, Robert Joseph
URN etd-04192001-141911
Title Dynamics of Competition using a Bit String Model with Age Structure and Mutations
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Zia, Royce K. P. Committee Chair
Hagedorn, George A. Committee Member
Indebetouw, Guy J. Committee Member
Schmittmann, Beate Committee Member
Tauber, Uwe C. Committee Member
  • Bit-string Model
  • Age Structure
  • Monte Carlo
  • Interspecies Competition
Date of Defense 2001-04-17
Availability unrestricted
Using Monte Carlo simulations and analytic methods, we examine the dynamics

of interspecies 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.

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