On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex-Reference-Cited by-同舟云学术

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On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex

Published:2016-09-17 Issue:5 Volume:74 Page:1223-1261
ISSN:0303-6812
Container-title:Journal of Mathematical Biology
language:en
Short-container-title:J. Math. Biol.

Author:

Jiang Jifa,Niu Lei^ORCID

Funder

National Natural Science Foundation of China

Research and Innovation Project of Shanghai Education Committee under Grant

the Program of Shanghai Normal University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00285-016-1052-y.pdf

Reference40 articles.

1. Baigent S (2013) Geometry of carrying simplices of 3-species competitive Lotka-Volterra systems. Nonlinearity 26:1001–1029

2. Campos J, Ortega R, Tineo A (1997) Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems. J Differ Equ 138:157–170

3. Chow SN, Hale JK (1982) Methods of bifurcation theory. Springer-Verlag, New York

4. Cushing JM (2015) On the fundamental bifurcation theorem for semelparous Leslie models, Chapter 11. In: Bourguignon JP, Jeltsch R, Pinto A, Viana M (eds) Mathematics of planet earth: dynamics, games and science”. CIM Mathematical Sciences Series. Springer, Berlin

5. Cushing JM, Levarge S, Chitnis N, Henson SM (2004) Some discrete competition models and the competitive exclusion principle. J Differ Equ Appl 10:1139–1151

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