Permanence of a General Periodic Single-Species System with Periodic Impulsive Perturbations

Xianning Liu; Yasuhiro Takeuchi

doi:jjiam/1197390053

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February 2007 Permanence of a General Periodic Single-Species System with Periodic Impulsive Perturbations

Xianning Liu, Yasuhiro Takeuchi

Japan J. Indust. Appl. Math. 24(1): 57-65 (February 2007).

Abstract

Sufficient conditions for permanence of a general periodic single-species system with periodic impulsive perturbations are obtained via comparison theory of impulsive differential equations. An application is given to the periodic impulsive logistic system.

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Xianning Liu. Yasuhiro Takeuchi. "Permanence of a General Periodic Single-Species System with Periodic Impulsive Perturbations." Japan J. Indust. Appl. Math. 24 (1) 57 - 65, February 2007.