Parametric Stability of Model Ecosystems

Y. Ohta, M. Ikeda and D. D. Šiljak
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Y. Ohta: Kobe University, Faculty of Engineering
M. Ikeda: Kobe University, Faculty of Engineering
D. D. Šiljak: Santa Clara University

A chapter in Biomathematics and Related Computational Problems, 1988, pp 539-554 from Springer

Abstract: Abstract A notion of parametric stability is formulated, which introduces the feasibility of equilibria into the Liapunov’s stability concept. The notion is defined to provide an appropriate framework for robust stability analysis of systems with uncertain parameters. Conditions for parametric stability are derived using the notion of M-functions, and applied to a class of Lotka-Volterra equations with general nonlinear terms.

Keywords: Uncertain Parameter; Parametric Stability; Robust Stability Analysis; Connective Stability; Interconnection Function (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_48

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DOI: 10.1007/978-94-009-2975-3_48

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