Time delays in n-species competition – I: Global stability in constant environments

K. Gopalsamy; R. A. Ahlip

doi:10.1017/S0004972700025934

Time delays in n-species competition – I: Global stability in constant environments

K. Gopalsamy, R. A. Ahlip

Flinders University

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

14 Citations (Scopus)

Abstract

Sufficient conditions which are verifiable in a finite number of arithmetical steps are derived for the existence and global asymptotic stability of a feasible steady state in an integro-differential system modelling the dynamics of n competing species in a constant environment with delayed interspecific interactions. A novel method involving a nested sequence of “asymptotic” upper and lower bounds is developed.

Original language	English
Pages (from-to)	427-441
Number of pages	15
Journal	Bulletin of the Australian Mathematical Society
Volume	27
Issue number	3
DOIs	https://doi.org/10.1017/S0004972700025934
Publication status	Published - Jun 1983
Externally published	Yes

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title = "Time delays in n-species competition – I: Global stability in constant environments",

abstract = "Sufficient conditions which are verifiable in a finite number of arithmetical steps are derived for the existence and global asymptotic stability of a feasible steady state in an integro-differential system modelling the dynamics of n competing species in a constant environment with delayed interspecific interactions. A novel method involving a nested sequence of “asymptotic” upper and lower bounds is developed.",

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AB - Sufficient conditions which are verifiable in a finite number of arithmetical steps are derived for the existence and global asymptotic stability of a feasible steady state in an integro-differential system modelling the dynamics of n competing species in a constant environment with delayed interspecific interactions. A novel method involving a nested sequence of “asymptotic” upper and lower bounds is developed.

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Time delays in n-species competition – I: Global stability in constant environments

Abstract

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