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Global asymptotic stability in an almost-periodic Lotka-Volterra system

Published online by Cambridge University Press:  17 February 2009

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

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Sufficient conditions are obtained for the existence of a globally asymptotically stable strictly positive (componentwise) almost-periodic solution of a Lotka-Volterra system with almost periodic coefficients.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 3 , January 1986 , pp. 346 - 360
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Fink, A. M., Almost-periodic differential equations, Lecture Notes in Math., vol. 377 (Springer-Verlag, Berlin, 1974).CrossRefGoogle Scholar
[2]Gopalsamy, K., “Exchange of equilibria in two species Lotka-Volterra competititon models”, J. Austral. Math. Soc. Ser. B 24 (1982), 160–170.CrossRefGoogle Scholar
[3]Gopalsamy, K., “Global asymptotic stability in a periodic Lotka-Volterra system”, J. Austral Math. Soc. Ser. B 27 (1985), 67–73.CrossRefGoogle Scholar
[4]Gopalsamy, K., “Harmless delays in a periodic ecosystem”, J. Austral. Math. Soc. Ser. B 25 (1984), 349–365.CrossRefGoogle Scholar
[5]Gopalsamy, K., “Delayed responses and stability in two-species systems”, J. Austral. Math. Soc. Ser. B 26 (1984), 473–500.CrossRefGoogle Scholar
[6]Gopalsamy, K., “Global asymptotic stability in Volterra's population systems”, J. Math. Biol. 19 (1984), 157–168.CrossRefGoogle Scholar
[7]Yoshizawa, T., Stability theory for the existence of periodic solutions and almost-periodic solutions. Applied Mathematical Sciences, Vol. 14 (Springer-Verlag, New York, 1975).CrossRefGoogle Scholar