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On neutral-delay two-species Lotka-Volterra competitive systems

Published online by Cambridge University Press:  17 February 2009

Y. Kuang
Y. Kuang
Affiliation:
Department of Mathematics, Arizona State University, Tempe, AZ 85287–1804, U.S.A.
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Abstract

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The qualitative behavior of positive solutions of the neutral-delay two-species Lotka-Volterra competitive system with several discrete delays is investigated. Sufficient conditions are obtained for the local asymptotic stability of the positive steady state. In fact, some of these sufficient conditions are also necessary except at those critical values. Results on the oscillatory and non-oscillatory characteristics of the positive solutions are also included.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 3 , January 1991 , pp. 311 - 326
Copyright
Copyright © Australian Mathematical Society 1991

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