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

Qiyuan Zhou; Jianying Shao

Annales Polonici Mathematici (2015)

  • Volume: 113, Issue: 2, page 175-189
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Qiyuan Zhou, and Jianying Shao. "Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect." Annales Polonici Mathematici 113.2 (2015): 175-189. <http://eudml.org/doc/280504>.

@article{QiyuanZhou2015,
abstract = {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.},
author = {Qiyuan Zhou, Jianying Shao},
journal = {Annales Polonici Mathematici},
keywords = {almost periodic solution; global exponential stability; single population model; delay},
language = {eng},
number = {2},
pages = {175-189},
title = {Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect},
url = {http://eudml.org/doc/280504},
volume = {113},
year = {2015},
}

TY - JOUR
AU - Qiyuan Zhou
AU - Jianying Shao
TI - Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect
JO - Annales Polonici Mathematici
PY - 2015
VL - 113
IS - 2
SP - 175
EP - 189
AB - 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.
LA - eng
KW - almost periodic solution; global exponential stability; single population model; delay
UR - http://eudml.org/doc/280504
ER -

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