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The study of piecewise pseudo almost periodic solutions for impulsive Lasota-Wazewska model with discontinuous coefficients

Na Song, Zheng-De Xia and Qiang Hou
From the journal Mathematica Slovaca


In this paper, we study the existence and global exponential stability of positive piecewise pseudo almost periodic solutions for the impulsive Lasota-Wazewska model with multiply time-varying delays when coefficients are piecewise pseudo almost periodic. Under proper conditions, by using the Gronwall’s inequation, we establish some criteria to ensure that the solution of this model stability exponentially to a positive piecewise pseudo almost periodic solution. Moreover, an example and its numerical simulation are given to illustrate the theoretical results.

MSC 2010: Primary 34C27; 34A37

  1. Communicated by Marcus Waurick


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Received: 2019-04-04
Accepted: 2019-08-17
Published Online: 2020-03-10
Published in Print: 2020-04-28

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