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1998 Global stability in nonautonomous Lotka-Volterra systems of "pure-delay type"
Xue-Zhong He
Differential Integral Equations 11(2): 293-310 (1998).

Abstract

In this paper, nonautonomous Lotka--Volterra systems of "pure-delay type" are considered and some sufficient conditions on the global asymptotic stability are obtained. As a corollary, we show that, under the conditions of Theorem 2.1 in Kuang [11], the system remains globally asymptotically stable provided the delays are sufficiently small. Both finite and infinite delays are allowed in the systems. Our results give an affirmative answer to the two open problems due to Kuang. The results are established by constructing suitable Lyapunov functionals.

Citation

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Xue-Zhong He. "Global stability in nonautonomous Lotka-Volterra systems of "pure-delay type"." Differential Integral Equations 11 (2) 293 - 310, 1998.

Information

Published: 1998
First available in Project Euclid: 30 April 2013

zbMATH: 1022.34068
MathSciNet: MR1741847

Subjects:
Primary: 34K20
Secondary: 34K60, 92D25

Rights: Copyright © 1998 Khayyam Publishing, Inc.

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Vol.11 • No. 2 • 1998
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