Global asymptotic stability of non-negative steady states in, model ecosystems—I

K. Gopalsamy; R. A. Ahlip

doi:10.1080/00207728408926543

Global asymptotic stability of non-negative steady states in, model ecosystems—I

K. Gopalsamy
, R. A. Ahlip

Flinders University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Using a novel modification of a familiar transformation used in Lotka-Volterra systems, global asymptotic stability of equilibria on the boundary of the state space of ecosystems is studied. By means of a natural Lyapunov function, easily verifiable sufficient conditions are obtained for global asymptotic stability of boundary equilibria.

Original language	English
Pages (from-to)	53-62
Number of pages	10
Journal	International Journal of Systems Science
Volume	15
Issue number	1
DOIs	https://doi.org/10.1080/00207728408926543
Publication status	Published - Jan 1984
Externally published	Yes

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10.1080/00207728408926543

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abstract = "Using a novel modification of a familiar transformation used in Lotka-Volterra systems, global asymptotic stability of equilibria on the boundary of the state space of ecosystems is studied. By means of a natural Lyapunov function, easily verifiable sufficient conditions are obtained for global asymptotic stability of boundary equilibria.",

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AB - Using a novel modification of a familiar transformation used in Lotka-Volterra systems, global asymptotic stability of equilibria on the boundary of the state space of ecosystems is studied. By means of a natural Lyapunov function, easily verifiable sufficient conditions are obtained for global asymptotic stability of boundary equilibria.

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Global asymptotic stability of non-negative steady states in, model ecosystems—I

Abstract

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