Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion
type: Item
instance of: scholarly article
title: Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion
zbMATH Open document ID: 1231.92061
author: Sze-Bi Hsu
author: B. Fiedler
published in: Journal of Mathematical Biology
publication date: 2009-10-12T00:00:00Z
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 5613267
Wikidata QID: Q47271596
MaRDI profile type: Publication
full work available at URL: s00285-008-0229-4
OpenAlex ID: W1982009316
cites work: A method for proving the non-existence of limit cycles
cites work: A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
cites work: On the Asymmetric May--Leonard Model of Three Competing Species
cites work: A Poincaré-Bendixson theorem for scalar reaction diffusion equations
cites work: Limiting Behavior for Competing Species
cites work: A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
cites work: Q4320141
cites work: Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
cites work: On Bendixson's criterion
cites work: The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
cites work: The Poincaré-Bendixson theorem for monotone cyclic feedback systems
cites work: Q3961188
cites work: Compound matrices and ordinary differential equations
cites work: Q4834372
cites work: The Theory of the Chemostat
cites work: An index theorem and Bendixson's negative criterion for certain differential equations of higher dimension
cites work: Some applications of Hausdorff dimension inequalities for ordinary differential equations
cites work: Q5515507
cites work: Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
cites work: Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
DOI: 10.1007/S00285-008-0229-4
description: scientific article; zbMATH DE number 5613267