American Institute of Mathematical Sciences

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January  2008, 20(1): 37-52. doi: 10.3934/dcds.2008.20.37

Carrying simplices in discrete competitive systems and age-structured semelparous populations

Odo Diekmann 1, , Yi Wang 2, and  Ping Yan 3,

1. 

Department of Mathematics, University of Utrecht, P.O. Box 80010, 3580 TA Utrecht, Netherlands
2. 

Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, China
3. 

Department of Mathematics and Statistics, University of Helsinki, FIN-00014 Helsinki, Finland

Received  November 2006 Revised  April 2007 Published  October 2007

For discrete competitive dynamical systems, amenable general conditions are presented to guarantee the existence of the carrying simplex and then these results are applied to age-structured semelparous population models, as well as to an annual plant competition model.
Keywords: Semelparous populations, Carrying simplex, Discrete competitive systems..
Mathematics Subject Classification: Primary: 92D25,39A10; Secondary: 37N2.
Citation: Odo Diekmann, Yi Wang, Ping Yan. Carrying simplices in discrete competitive systems and age-structured semelparous populations. Discrete & Continuous Dynamical Systems - A, 2008, 20 (1) : 37-52. doi: 10.3934/dcds.2008.20.37
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