In this paper we consider the permanence of the following Lotka᎐Volterra Ž . Ž . Ä w discrete competition system with delays k , k , l , and l : .x4 l . We show the system is permanent for all nonnegative integers k , k , l , and 2 1 2 1 l , if and only if -1 and -1 hold. ᮊ 2001 Academic Press 2 1
A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components
✍ Scribed by Jorge Navarro; Rafael Rubio
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 165 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0894-069X
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This paper presents the necessary and sufficient condition for the global stability of the following Lotka-Volterra cooperative or competition system with time delays: It is showed that the positive equilibrium of the system is globally asymptotically stable for all delays τ ij ≥ 0 i j = 1 2 if and
## Abstract In this paper, necessary and sufficient conditions are derived for the existence of a common quadra‐tic Lyapunov function for a finite number of stable second order linear time‐invariant systems. Copyright © 2002 John Wiley & Sons, Ltd.