Global exponential stability of positive pseudo-almost-periodic solutions for a model of hematopoiesis
type: Item
instance of: scholarly article
title: Global exponential stability of positive pseudo-almost-periodic solutions for a model of hematopoiesis
zbMATH Open document ID: 1296.34164
DOI: 10.1155/2013/463076
author: Junxia Meng
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This paper presents a new generalized model of hematopoiesis with multiple time-varying delays. The main purpose of this paper is to study the existence and the global exponential stability of the positive pseudo almost periodic solutions, which are more general and complicated than periodic and almost periodic solutions. Under suitable assumptions, and by using fixed point theorem, sufficient conditions are given to ensure that all solutions of this model converge exponentially to the positive pseudo almost periodic solution for the considered model. These results improve and extend some known relevant results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6306848
Wikidata QID: Q58916331
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/463076
OpenAlex ID: W2079855338
cites work: Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications
cites work: Composition of pseudo almost-periodic functions and semilinear differential equations.
cites work: Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations
cites work: Vector-valued pseudo almost periodic functions
cites work: Pseudo almost periodic solutions of some differential equations
cites work: Pseudo almost periodic solutions of some differential equations. II
cites work: Oscillation and Chaos in Physiological Control Systems
cites work: Q4000352
cites work: Existence and global attractivity of the unique positive almost periodic solution for a model of hematopoiesis
cites work: Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis
cites work: Existence and exponential convergence of the positive almost periodic solution for a model of hematopoiesis
cites work: Global exponential stability of positive almost periodic solutions for a model of hematopoiesis
cites work: Positive periodic solutions for a nonlinear density-dependent mortality Nicholson's blowflies model
cites work: Global exponential stability of positive periodic solutions for a delayed Nicholson's blowflies model
cites work: Q4424876
cites work: An Introduction to Delay Differential Equations with Applications to the Life Sciences
cites work: Q3871201
description: scientific article; zbMATH DE number 6306848