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Harmless delays in a periodic ecosystem

Published online by Cambridge University Press:  17 February 2009

K. Gopalsamy
K. Gopalsamy
Affiliation:
School of Mathematics, Flinders University, Bedford Park, S.A. 5042.
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Abstract

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Sufficient conditions are obtained for the existence of a unique linearly asymptotically stable positive periodic solution of an ecosystem model of two species competition in a periodic environment with time lags in interspecific interactions. It is shown that if the self-regulating intraspecific interaction effects are strong enough and act without time delays then time delays of any length in the interspecific interactions cannot destabilise an otherwise stable ecosystem in a periodic environment.

Type
Research Article
Information
The ANZIAM Journal , Volume 25 , Issue 3 , January 1984 , pp. 349 - 365
Copyright
Copyright © Australian Mathematical Society 1984

References

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