GLOBAL EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR AN IMPULSIVE LASOTA-WAZEWSKA MODEL WITH DELAYS

TitleGLOBAL EXPONENTIAL STABILITY OF POSITIVE PERIODIC SOLUTIONS FOR AN IMPULSIVE LASOTA-WAZEWSKA MODEL WITH DELAYS
Publication TypeJournal Article
Year of Publication2018
AuthorsZHANG, RUOJUN, ZHANG, JINGJING, YANG, CHUNYU
Secondary TitleIMPULSIVE LASOTA-WAZEWSKA MODEL
Volume22
Issue2
Start Page147
Pagination16
Date Published01/2018
ISBN Number1083-2564
AMS34A37, 34C25, 34D23
Abstract

In this paper, we consider a class of non-autonomous impulsive Lasota-Wazewska model with delays. First, the equivalent relation between the solution (or positive periodic solution) of the Lasota-Wazewska
delayed model with impulsive effects and that of a corresponding delayed Lasota-Wazewska model without impulsive effects is established. Then, by applying algebraic inequalities and Laypunov functional method, some sufficient conditions for the existence and global exponential stability of positive periodic solution of addressed model are given. Finally, an example and its numerical simulation are provided to illustrate the effectiveness of the theoretical results.
URLhttps://www.acadsol.eu/en/articles/22/2/2.pdf
DOI10.12732/caa.v22i2.2
Refereed DesignationRefereed
Full Text

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