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Parametric Stability of Model Ecosystems

In: Biomathematics and Related Computational Problems

Author

Listed:
  • Y. Ohta

    (Kobe University, Faculty of Engineering)

  • M. Ikeda

    (Kobe University, Faculty of Engineering)

  • D. D. Šiljak

    (Santa Clara University)

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.

Suggested Citation

  • Y. Ohta & M. Ikeda & D. D. Šiljak, 1988. "Parametric Stability of Model Ecosystems," Springer Books, in: Luigi M. Ricciardi (ed.), Biomathematics and Related Computational Problems, pages 539-554, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2975-3_48
    DOI: 10.1007/978-94-009-2975-3_48
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