Remarks on excitability, stability and sign of equilibria in cooperative systems

Piccardi, C. & Rinaldi, S. (2002). Remarks on excitability, stability and sign of equilibria in cooperative systems. Systems & Control Letters 46 (3) 153-163. 10.1016/S0167-6911(02)00118-4.

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Abstract

The strict positivity of equilibria is known to be equivalent to asymptotic stability in excitable positive linear systems. In contrast with intuition, this property does not hold for nonlinear cooperative systems. However, weaker results are pointed out and proved to be effective in the analysis of several nonlinear cooperative systems.

Item Type:	Article
Uncontrolled Keywords:	Cooperative systems; Excitability; Positive systems; Positivity of equilibria; Stability
Research Programs:	Adaptive Dynamics Network (ADN)
Bibliographic Reference:	Systems and Control Letters; 46(3):153-163 (5 July 2002) (Published online 16 April 2002)
Depositing User:	IIASA Import
Date Deposited:	15 Jan 2016 02:14
Last Modified:	27 Aug 2021 17:37
URI:	https://pure.iiasa.ac.at/6537

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