Time delays in n-species competition – I: Global stability in constant environments
- 1 June 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 27 (3) , 427-441
- https://doi.org/10.1017/s0004972700025934
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.Keywords
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