A note on delay-independent stability of a predator-prey model

Journal of Sound and Vibration

Volumn 275, Issue 1-2, 2004, Pages 17-25

  Wu, Shaobo ^a   Ren, Gexue ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DYNAMICS; LINEAR SYSTEMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; POLYNOMIALS; SYSTEM STABILITY; THEOREM PROVING;

DELAY-INDEPENDENT STABILITY; HURWITZ TABLES; PREDATOR-PREY MODELS;

NONLINEAR SYSTEMS;

EID: 3042512043     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00662-X     Document Type: Article

References (7)

1. Chin Y.S. Unconditional stability of systems with time-lags. Acta Mathematica Sinica. 10:1960;125-141.
2. Hale J., Huang W. Global geometry of the stable regions for two delay differential equations. Journal of Mathematical Analysis and Applications. 178:1993;344-362.
3. G. Stepan, Retarded Dynamical Systems, Pitman Research Notes Mathematical Series, Vol. 210, Longman Scientific and Technical, Essex, UK, 1989.
4. Wang Z.H., Hu H.Y. Delay-independent stability of retarded dynamic systems of multiple degrees of freedom. Journal of Sound and Vibration. 226:1999;57-81.
5. Wu S., Ren G. Delay-independent stability criteria for a class of retarded dynamical systems with two delays. Journal of Sound and Vibration. 270:2004;625-638.
6. Stépán G. Modelling nonlinear regenerative effects in metal cutting. Philosophical Transactions of the Royal Society of London, Series A. 359:2001;739-757.
7. Freedman H.I., Sree Hari Rao V. Stability criteria for a system involving two time delays. SIAM Journal of Applied Mathematics. 46:1986;552-560.