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Harmless delays in a periodic ecosystem

K. Gopalsamy

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Source: Crossref

Published: Jan 1, 1984

DOI: 10.1017/s0334270000004112

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Source abstract

Abstract 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.

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Harmless delays in a periodic ecosystem — Mathematical Frontier Network