Abstract
When analyzing a discrete reaction-diffusion dynamical system, one primary area of interest is locating where in the parameter space Turing instabilities occur. It will be shown that Turing instabilities cannot occur in the react then diffuse equations if all diffusion coefficients are equal. The replicator dynamic is a system of equations that is used in evolutionary game theory applications to study behavior types in animal populations. Conditions for a Turing instability in first order discrete replicator systems will be discussed and illustrated with computer simulations of the results.
Library of Congress Subject Headings
Reaction-diffusion equations; Animal behavior--Mathematical models; Game theory
Publication Date
4-15-2011
Document Type
Thesis
Department, Program, or Center
School of Mathematical Sciences (COS)
Advisor
Brooks, Bernard
Recommended Citation
Bryce, Alex, "Turing instability in discrete replicator systems" (2011). Thesis. Rochester Institute of Technology. Accessed from
https://repository.rit.edu/theses/4808
Campus
RIT – Main Campus
Comments
Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: QA374 .B79 2011