GLOBAL STABILITY OF A NONLINEAR DISCRETE POPULATION MODEL WITH TIME DELAYS

The global stability of a nonlinear discrete population model of Volterra type is studied. The model incorporates time delays. By linearization of the model at positive solutions and construction of Liapunov functionals, sufficient conditions are obtained to ensure that a positive solution of the model is stable and attracts all positive solutions. An example shows the feasibility of our main results.

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Year of publication:	2007
Authors:	FANG, NA ; CHEN, XIAOXING
Published in:	Advances in Complex Systems (ACS). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-6802. - Vol. 10.2007, 03, p. 315-333
Publisher:	World Scientific Publishing Co. Pte. Ltd.
Subject:	Nonlinear \| global stability \| delay \| discrete \| population

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

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