Positive almost periodic solution for a model of hematopoiesis with infinite time delays and a nonlinear harvesting term
type: Item
instance of: scholarly article
title: Positive almost periodic solution for a model of hematopoiesis with infinite time delays and a nonlinear harvesting term
zbMATH Open document ID: 1303.34069
DOI: 10.1155/2013/146729
author: Hui Zhou
author: W. Wang
author: Zongfu Zhou
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: A generalized model of hematopoiesis with infinite time delays and a nonlinear harvesting term is investigated. By using a fixed point theorem of the differential equations and constructing a suitable Lyapunov functional, we establish some conditions which guarantee the existence of a unique positive almost periodic solution and the exponential convergence of the system. Finally, we give an example to illustrate the effectiveness of our results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6306061
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: exponential convergence
Wikidata QID: Q58915360
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/146729
OpenAlex ID: W2131414565
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description: scientific article; zbMATH DE number 6306061