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

Publisher： Cambridge University Press

E-ISSN： 1755-1633|27|3|427-441

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.27, Iss.3, 1983-06, pp. : 427-441

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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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