Analysis of a chemostat model for bacteria and virulent bacteriophage
type: Item
instance of: scholarly article
title: Analysis of a chemostat model for bacteria and virulent bacteriophage
zbMATH Open document ID: 1028.34067
author: E. Beretta
author: Yanbin Tang
author: Fortunata Solimano
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2003-02-04T00:00:00Z
review text: The authors investigate the dynamical properties of the solutions to a model for a bacteria and virulent bacteriophage system in a chemostat. The basic properties of the model which are investigated are the existence of equilibria, positive invariance and boundedness of solutions and permanence results. Further, using a geometric stability switch criterion in the delay differential system with delay dependent parameters, the authors present the local asymptotic stability of the equilibria by analyzing the corresponding characteristic equation which coefficients depend on the time delay. Numerical simulations are presented to illustrate the results of local stability. Finally, by using the Lyapunov functional method, the global asymptotic stability of the boundary equilibria are investigated.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1833232
zbMATH Keywords: chemostat
zbMATH Keywords: delay equations
zbMATH Keywords: bacteria-bacteriophage interaction
zbMATH Keywords: local stability
zbMATH Keywords: global stability
reviewed by: Lansun Chen
MaRDI profile type: Publication
full work available at URL: dcdsb.2002.2.495
OpenAlex ID: W2004168263
DOI: 10.3934/DCDSB.2002.2.495
description: scientific article; zbMATH DE number 1833232