Impulsive control for persistence and periodicity of logistic systems

Li Sun, Haitao Zhu and Yanhui Ding

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 171, issue C, 294-305

Abstract: In this paper, a class of logistic systems with impulsive effects are proposed and investigated. Based on impulsive control theory, a novel approach is developed to guarantee the persistence and existence of a unique globally attractive positive periodic solution. The development results of this paper emphasize the impulsive effects on system, which are different from the existing ones in the literature. Two examples and their simulations are given to illustrate the effectiveness of the proposed results.

Keywords: Logistic systems; Impulsive control; Persistence; Periodicity; Global attraction (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:171:y:2020:i:c:p:294-305

DOI: 10.1016/j.matcom.2019.06.006

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