Existence and global attractivity of positive periodic solution of an impulsive delay differential equation

Authors: Hai-Feng Huo; Wang-Tong Li; Xinzhi Liu

Source: Applicable Analysis, Volume 83, Number 12, December 2004 , pp. 1279-1290(12)

Publisher: Taylor and Francis Ltd

Abstract:

Sufficient conditions are obtained for the existence and global attractivity of periodic positive solutions of an impulsive delay differential equation of the form

Our theorems have generalized some known results on special delay population models. It is shown that under appropriate linear periodic impulsive perturbations, the impulsive delay differential equation preserves the original periodicity and global attractivity properties of the nonimpulsive delay differential equation.

Keywords: Impulsive delay differential equation; Periodic solution; Global attractivity; 2000 AMS Subject Classifications:; 34K20; 92D25

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810410001724599

Publication date: 2004-12-01

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