Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input
type: Item
instance of: scholarly article
title: Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input
zbMATH Open document ID: 1208.34131
DOI: 10.1155/2010/830951
author: Kai Wang
author: Zhidong Teng
author: Fengqin Zhang
published in: Discrete Dynamics in Nature and Society
publication date: 2010-12-06T00:00:00Z
full work available at URL: https://eudml.org/doc/225514
review text: Summary: The dynamic behavior in a chemostat model with delayed nutrient recycling and periodically pulsed input are studied. Sufficient and necessary conditions for permanence and extinction of the microorganisms are obtained. Furthermore, by using the Liapunov function method, sufficient conditions for the global attractivity of the model are established. Finally, an example is given to demonstrate the effectiveness of the results.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5823133
MaRDI profile type: Publication
OpenAlex ID: W1993006830
Wikidata QID: Q58650651
cites work: Stability in chemostat equations with delayed recycling
cites work: Models of competition in the chemostat with instantaneous and delayed nutrient recycling
cites work: A planktonic resource-consumer model with a temporal delay in nutrient recycling
cites work: Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor
cites work: Competition in chemostat-type equations with two habitats
cites work: Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
cites work: Global Stability in Chemostat-Type Competition Models with Nutrient Recycling
cites work: Global stability in chemostat models involving time delays and wall growth
cites work: Oscillations induced by the time lags in limited nutrient--consumer dynamic models
cites work: Mathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environment
cites work: Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor
cites work: Global qualitative analysis of new monod type chemostat model with delayed growth response and pulsed input in polluted environment
cites work: Dynamic behaviors of Monod type chemostat model with impulsive perturbation on the nutrient concentration
cites work: Global behaviors of Monod type chemostat model with nutrient recycling and impulsive input
cites work: Competition in a chemostat with Beddington-DeAngelis growth rates and periodic pulsed nutrient
cites work: Study of a chemostat model with Beddington-DeAngelis functional response and pulsed input and washout at different times
cites work: Dynamic analysis of lactic acid fermentation in membrane bioreactor
cites work: Extinction and permanence of chemostat model with pulsed input in a polluted environment
description: scientific article; zbMATH DE number 5823133