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Limit cycles in two spacies competition with time delays

Published online by Cambridge University Press:  17 February 2009

K. Gopalsamy
Affiliation:
School of Mathematics, Flinders University, Bedford Park South Australia 5042
B. D. Aggarwala
Affiliation:
Department of Mathematics, University of Calgary, Calgary Alberta Canada
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Abstract

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The existence of stable periodic oscillatory solutions in a two species competition model with time delays is established using a combination of Hopf-bifurcation theory and the asymptotic method of Krylov, Bogoliuboff and Mitropoisky.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1980