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

Published online by Cambridge University Press:  17 April 2009

K. Gopalsamy  and
R.A. Ahlip
K. Gopalsamy
Affiliation:
School of Mathematical Sciences, Flinders University of South Australia, Bedford Park, South Australia 5042, Australia.
R.A. Ahlip
Affiliation:
School of Mathematical Sciences, Flinders University of South Australia, Bedford Park, South Australia 5042, Australia.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 3 , June 1983 , pp. 427 - 441
Copyright
Copyright © Australian Mathematical Society 1983

References

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