PERMANENCE AND GLOBAL STABILITY FOR NONLINEAR DISCRETE MODEL

A discrete nonlinear model is studied and sufficient conditions which guarantee the permanence of the model are obtained. Assuming that the coefficients in the model are periodic, the existence of periodic solutions are obtained. Sufficient conditions are obtained to ensure the global stability of the positive periodic solution by constructing a suitable Lyapunov function.

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Year of publication:	2006
Authors:	XIAOXING, CHEN
Published in:	Advances in Complex Systems (ACS). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-6802. - Vol. 09.2006, 01, p. 31-40
Publisher:	World Scientific Publishing Co. Pte. Ltd.
Subject:	Permanence \| discrete \| nonlinear \| global stability

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Extent:	application/pdf text/html
Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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