Global asymptotic stability of periodic Lotka-Volterra systems with delays

Nonlinear Analysis, Theory, Methods and Applications

Volumn 45, Issue 8, 2001, Pages 1081-1095

  Teng, Zhidong ^a   Chen, Lansun ^b  

^a XINJIANG UNIVERSITY   (China)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Competition; Delay; Global asymptotic stability; Lotka Volterra system; Lyapunov function; Persistence; Positive periodic solution

Indexed keywords

ASYMPTOTIC STABILITY; INTEGRATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

LOTKA-VOLTERRA SYSTEM;

DIFFERENTIAL EQUATIONS;

EID: 0035452490     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00441-1     Document Type: Article

References (21)

1. Global asymptotic stability of a periodic system of delay Logistic equations
2. Global asymptotical stability in a nonautonomous Lotka-Volterra type system with infinite delay
3. On the periodic Lotka-Volterra competition model
4. Uniform persistence in functional differential equations
5. Periodic solutions of single-species models with periodic delay
6. Global asymptotic stability in a periodic integrodifferential system
7. Phase space for retarded equations with infinite delay
8. Persistence, stability and level crossing in an integrodifferential system
9. Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria
10. Exponential asymptotic stability for functional differential equations with infinite retardations
11. Permanence in Kolmogorov-type systems of nonautonomous functional differential equations
12. Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems
13. An iterative scheme for the N-competing species problem
14. Positive periodic solutions of an n-species ecologic system
15. Global stability of a competition model with periodic coefficients and time delays
16. h and the periodic solutions of Volterra integro-differential equations
17. h-space and the boundedness and periodic solutions of functional differential equations with infinite delay