Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (1): 80-89.

Previous Articles     Next Articles

Pseudo Almost Periodic Solutions for a Model of Hematopoiesis with an Oscillating Circulation Loss Rate

Jiang Ani   

  1. College of Mathematics and Computational Science, Hunan University of Arts and Science, Hunan Changde 415000
  • Received:2015-08-11 Revised:2015-12-18 Online:2016-02-25 Published:2016-02-25
  • Supported by:

    Supported by the Construction Program of the Key Disipline in Hunan University of Arts and Science-Applied Mathematics

Abstract:

In this paper, a model of hematopoiesis with an oscillating circulation loss rate is investigated. By applying the exponential dichotomy theory, contraction mapping fixed point theorem and differential inequality techniques, a set of sufficient conditions are obtained for the existence and exponential stability of positive pseudo almost periodic solutions of the model. Some numerical simulations are carried out to support the theoretical findings. Our results improve and generalize those of the previous studies.

Key words: Positive pseudo almost periodic solution, Global exponential stability, Model of hematopoiesis, Oscillating circulation loss rate

CLC Number: 

  • O175.12
Trendmd