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Global Dynamic Scenarios for Competitive Maps in the Plane
Mathematics Faculty Publications
  • Elliott J. Bertrand, Sacred Heart University
  • M.R.S. Kulenovic, University of Rhode Island
Document Type
Peer-Reviewed Article
Publication Date

In this paper we present some global dynamic scenarios for general competitive maps in the plane. We apply these results to the class of second-order autonomous difference equations whose transition functions are decreasing in the variable \(x_{n}\) and increasing in the variable \(x_{n-1}\).We illustrate our results with the application to the difference equation ...


At the time of article acceptance Elliott Bertrand was affiliated with the University of Rhode Island.

© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Creative Commons License
Creative Commons Attribution 4.0
Citation Information

Bertrand, E.J. & Kulenovic, M.R.S. (2018). Global dynamic scenarios for competitive maps in the plane. Advances in Difference Equations, 291. doi: 10.1186/s13662-018-1750-4