Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model
type: Item
instance of: scholarly article
title: Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model
zbMATH Open document ID: 1116.34063
author: Xianning Liu
author: Yasuhiro Takeuchi
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-01-09T00:00:00Z
review text: For the system \[ y'(t)=-\alpha(t)y(t)+\sum_{k=1}^m \beta_k(t)e^{-\gamma_k(t)y(t-m_k\omega)} \] \[ y(\tau_k^+)=(1+b_k)y(\tau_k) \] the authors obtain sufficient and/or necessary conditions for the existence of a positive periodic solution and for its global stability.
reviewed by: Leonid Berezansky
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5083280
zbMATH Keywords: impulses
zbMATH Keywords: global stability
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.04.026
OpenAlex ID: W1986046643
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DOI: 10.1016/J.JMAA.2006.04.026
description: scientific article; zbMATH DE number 5083280