Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis
type: Item
instance of: scholarly article
title: Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis
zbMATH Open document ID: 1186.34116
DOI: 10.1155/2009/127510
published in: Boundary Value Problems
publication date: 2009-11-06T00:00:00Z
full work available at URL: https://eudml.org/doc/45597
review text: The authors consider the following hematopoiesis equation with impulses \[ \begin{cases} h^{\prime}(t)=-\alpha(t)h(t)+\frac{\beta(t)}{1+h^n(t-\tau)},&t\not=\theta_k,\\ \Delta(\theta_k):=h(\theta_k^+)-h(\theta_k^-)=\gamma_kh(\theta_k^-)+\delta_k,&k\in \mathbb{N}. \end{cases}\tag{1} \] Sufficient conditions for the existence of a positive almost periodic solution \(p(t)\) and its exponential stability are obtained.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 5626143
zbMATH Keywords: model of hematopoiesis
zbMATH Keywords: differential equation with impulse
zbMATH Keywords: positive almost periodic solution
zbMATH Keywords: exponential stability
Wikidata QID: Q59220063
author: J. O. Alzabut
author: Juan J. Nieto
author: G. T. Stamov
reviewed by: Peixuan Weng
MaRDI profile type: Publication
OpenAlex ID: W2153921526
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description: scientific article; zbMATH DE number 5626143