Dynamics of two phytoplankton species competing for light and nutrient with internal storage

DOI10.3934/dcdss.2014.7.1259zbMath1336.92069OpenAlexW2334991746MaRDI QIDQ478912

Sze-Bin Hsu, Chiu-Ju Lin

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.1259

zbMATH Keywords

competitive exclusionstable coexistencetwo species competitionbistabilityDroop modelTilman's graph presentationwell-mixed water column

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75) Hybrid systems of ordinary differential equations (34A38)

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Cites Work

• Saddle-point behavior for monotone semiflows and reaction-diffusion models
• Global dynamics of microbial competition for two resources with internal storage
• The Theory of the Chemostat
• Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage
• Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
• Stable coexistence and bi-stability for competitive systems on ordered Banach spaces