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Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect

Volume 113 / 2015

Qiyuan Zhou, Jianying Shao Annales Polonici Mathematici 113 (2015), 175-189 MSC: 34C25, 34K13. DOI: 10.4064/ap113-2-5


This paper is concerned with a delayed single population model with hereditary effect. Under appropriate conditions, we employ a novel argument to establish a criterion of the global exponential stability of positive almost periodic solutions of the model. Moreover, an example and its numerical simulation are given to illustrate the main result.


  • Qiyuan ZhouCollege of Mathematics
    and Computer Science
    Hunan University of Arts and Science
    Changde, Hunan 415000, P.R. China
  • Jianying ShaoCollege of Mathematics, Physics
    and Information Engineering
    Jiaxing University
    Jiaxing, Zhejiang 314001, P.R. China

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