Classification of quadratic carrying simplices in two-dimensional competitive Lotka-Volterra systems

Nonlinearity

Volumn 15, Issue 6, 2002, Pages 1993-2018

  Zeeman, E C ^a  

^a HERTFORD COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042035646     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/15/6/311     Document Type: Article

References (7)

1. Coxeter H S M 1961 Introduction to Geometry (New York: Wiley)
2. Hirsch M W 1988 Systems of differential equations that are competitive or cooperative: III. Competing species Nonlinearity 1 51-71
3. Mierczynski J 1999 On peaks in carrying simplices Colloq. Math. 81 285-92
4. Robinson C 1999 Dynamical Systems (Boca Raton, FL: CRC Press)
5. Zeeman E C and Zeeman M L 1994 On the convexity of carrying simplices in competitive Lotka-Volterra systems Differential Equations, Dynamical Systems, and Control Science (Lecture Notes in Pure Appl. Math. vol 152) (New York: Dekker) pp 335-64
6. Zeeman E C and Zeeman M L 2002 An n-dimensional competitive Lotka-Volterra system is generically determined by the edges of its carrying simplex Nonlinearity 15 2019-2032
7. Zeeman M L 1993 Hopf bifurcations in competitive three dimensional Lotka-Volterra systems Dynam. Stab. Sys. 8 189-217