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

Abstract 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.