Global attractivity of a circadian pacemaker model in a periodic environment
type: Item
instance of: scholarly article
title: Global attractivity of a circadian pacemaker model in a periodic environment
zbMATH Open document ID: 1082.34059
author: Yuming Chen
author: Lin Wang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2005-07-01T00:00:00Z
review text: A delay differential equation with continuous periodic parameters is proposed to model the circadian pacemaker in a periodic environment. By means of Mawhin's continuation theorem, the existence of a positive periodic solution is obtained. Two easily verifiable sufficient conditions are also derived for the global attractivity of the positive periodic solution. Some numerical simulations are also given to demonstrate the main results.
reviewed by: Haifeng Huo
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 2185465
zbMATH Keywords: Circadian pacemaker
zbMATH Keywords: coincidence degree
zbMATH Keywords: delay differential equation
zbMATH Keywords: global attractivity
zbMATH Keywords: periodic solution
MaRDI profile type: Publication
OpenAlex ID: W2094355487
DOI: 10.3934/DCDSB.2005.5.277
description: scientific article; zbMATH DE number 2185465