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Dissertation
Global Dynamics of Some Competitive and Cooperative Discrete Dynamical Systems
(2018)
  • Elliott J. Bertrand, Sacred Heart University
Abstract
This dissertation investigates the dynamics of some second-order difference equations and systems of difference equations whose defining functions satisfy certain monotonicity properties. In each study we utilize the theory for specific classes of monotone difference equations to establish local and global dynamics.
Keywords
  • Difference equations
Disciplines
Publication Date
2018
Degree
Doctor of Philosophy in Mathematics
Department
Mathematics, University of Rhode Island
Advisors
Mustafa Kulenović
Citation Information
Bertrand, Elliott J., "Global Dynamics of Some Competitive and Cooperative Discrete Dynamical Systems" (2018). Open Access Dissertations. Paper 726. https://digitalcommons.uri.edu/oa_diss/726