Global stability in the 2D Ricker equation
Authors:
- 27 August 2015
- journal article
- research article
- Published by Taylor & Francis in Journal of Difference Equations and Applications
- Vol. 21 (11) , 1068-1081
Abstract
We improve a previous result for the 2D Ricker equation by reducing an infinite number of topological conditions to a finite number. We also give sufficient conditions in terms of the parameters where many of these topological conditions are satisfied. We also discuss the various pathologies that occur for other parameter choices.Keywords
This publication has 12 references indexed in Scilit:
- Global stability in a multi-species periodic Leslie–Gower modelJournal of Biological Dynamics, 2011
- Dynamic reduction with applications to mathematical biology and other areasJournal of Biological Dynamics, 2007
- Local stability implies global stability in some one-dimensional discrete single-species modelsDiscrete and Continuous Dynamical Systems-Series B, 2007
- A note on periodic Ricker mapsJournal of Difference Equations and Applications, 2007
- Simple mathematical models for interacting wild and transgenic mosquito populationsMathematical Biosciences, 2004
- Dynamics of One-Dimensional Maps1997
- Chaotic Dynamics in Two-Dimensional Noninvertible Maps1996
- Stability of discrete one-dimensional population modelsBulletin of Mathematical Biology, 1988
- A note on proper mapsProceedings of the American Mathematical Society, 1975
- Spawning Stock Size and Resultant Production for Skeena SockeyeJournal of the Fisheries Research Board of Canada, 1958