ALMOST PERIODIC SOLUTION FOR A DISCRETE HEMATOPOIESIS MODEL WITH TIME DELAY-Reference-Cited by-同舟云学术

ALMOST PERIODIC SOLUTION FOR A DISCRETE HEMATOPOIESIS MODEL WITH TIME DELAY

Published:2012-01 Issue:01 Volume:05 Page:1250003
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

LI YONGKUN¹,ZHANG TIANWEI¹

Affiliation:

1. Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P. R. China

Abstract

In this paper, we consider the discrete Hematopoiesis model with a time delay: [Formula: see text] Sufficient conditions for the existence of a unique uniformly asymptotically stable positive almost periodic solution are obtained by the work of [S. N. Zhang, G. Zheng, Almost periodic solutions of delay difference systems, Appl. Math. Comput.131 (2002) 497–516]. Some examples are considered to illustrate the main results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179352451100143X

Reference8 articles.

1. Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients

2. Almost periodic solutions of a discrete almost periodic logistic equation

3. Extreme stability and almost periodicity in a discrete logistic equation

4. Almost periodic sequence solutions of a discrete Lotka–Volterra competitive system with feedback control

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms;Communications in Nonlinear Science and Numerical Simulation;2023-11

2. New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey–Glass hematopoietic model;Communications in Nonlinear Science and Numerical Simulation;2023-11

3. Almost periodic solution of a discrete competitive system with delays and feedback controls;Open Mathematics;2019-03-19

4. A Delay Almost Periodic Competitive System in Discrete Time;Discrete Dynamics in Nature and Society;2015

5. Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system;International Journal of Biomathematics;2014-06-25