The classification of the dynamical behavior of 3-dimensional type K monotone Lotka-Volterra systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 51, Issue 5, 2002, Pages 749-763

  Liang, Xing ^a   Jiang, Jifa ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Kolmogorov system; Lotka Volterra systems; Topological classification; Type K monotone

Indexed keywords

BIFURCATION (MATHEMATICS); CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; TOPOLOGY;

LOTKA-VOLTERRA SYSTEMS;

NONLINEAR SYSTEMS;

EID: 0036833148     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00860-4     Document Type: Article

References (16)

1. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
2. Systems of differential equations which are competitive or cooperative III: Competiting species
3. Systems of differential equations which are competitive or cooperative V: Convergence in 3-dimensional systems
4. Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
5. On the finite dimensional dynamical systems with limited competition
6. Competing subcommunities of mutualists and a generalized Kamke theorem
7. Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems
8. Stable coexistence and bi-stablity for competitive systems on ordered Banach spaces
9. Domains of attraction of generic ω-limit sets for strongly monotone discrete-time semigroups
10. The existence of globally stable equilibria of ecosystems of the generalized Volterra type
11. The coexistence of a community of species with limited competition
12. The necessary and sufficient conditions for the global stability of type-K Lotka-Volterra systems
13. Global stability and permanence for a class of type K monotone systems
14. Theory of limit cycles
15. Hopf bifurations in competitive three-dimensional Lotka-Volterra systems
16. Qualitative theory of differential equations