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Global asymptotic stability in a periodic Lotka-Volterra system

Published online by Cambridge University Press:  17 February 2009

K. Gopalsamy
K. Gopalsamy
Affiliation:
School of Mathematical Sciences, The Flinders University of South Australian, Bedford Park, S. A.
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Abstract

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A set of easily verifiable sufficient conditions are obtained for the existence of a globally asymptotically stable periodic solution in a Lotka-Volterra system with periodic coefficients.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 1 , July 1985 , pp. 66 - 72
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Cushing, J. M., “Stable limit cycles in time dependent multispecies interactions”, Math. Biosci. 31 (1976), 259–273.CrossRefGoogle Scholar
[2]Gopalsamy, K., “Exchange of equilibria in two species Lotka-Volterra competition models”, J. Austral. Math. Soc. Ser. B 24 (1982), 160–170.Google Scholar
[3]Gopalsamy, K., “Global asymptotic stability in Volterra's population systems”, J. Math. Biol. 19 (1984), 157–168.Google Scholar
[4]Gopalsamy, K., “Harmless delays in a periodic ecosystem”, J. Austral. Math. Soc. Ser. B 25 (1984), 349–365.CrossRefGoogle Scholar