A periodic-parabolic droop model for two species competition in an unstirred chemostat

DOI10.3934/dcds.2020185zbMath1439.35022OpenAlexW3015217271MaRDI QIDQ2176548

Sze-Bi Hsu, Feng-Bin Wang, Xiaoqing He

Publication date: 5 May 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020185

zbMATH Keywords

persistenceextinctioncoexistencetime-periodic forcingtime-periodic Droop model

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage
• Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
• A periodic droop model for two species competition in a chemostat
• Growth of single phytoplankton species with internal storage in a water column
• On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat
• Geometric theory of semilinear parabolic equations
• Global asymptotics in some quasimonotone reaction-diffusion systems with delays
• The periodically forced Droop model for phytoplankton growth in a chemostat
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat
• Competition for two essential resources with internal storage and periodic input.
• On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
• Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage
• Competition in the Unstirred Chemostat with Periodic Input and Washout
• Competition for a Single Limiting Resource in Continuous Culture: The Variable-Yield Model
• Spectral Radii and Collatz–Wielandt Numbers for Homogeneous Order-preserving Maps and the Monotone Companion Norm
• The Theory of the Chemostat
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
• Chain transitivity, attractivity, and strong repellors for semidynamical systems
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