Stoichiometric producer-grazer models with varying nitrogen pools and ammonia toxicity

DOI10.3934/dcdss.2014.7.1305zbMath1336.92093OpenAlexW2326076555MaRDI QIDQ478917

Aaron Packer, Yang Kuang, Hao Liu

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.2014.7.1305

zbMATH Keywords

bifurcationstoichiometrynumerical simulationsnitrogenaquacultureproducer-grazer modelstoxicity

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Hybrid systems of ordinary differential equations (34A38)

Cites Work

• Unnamed Item
• Global analysis of a stoichiometric producer-grazer model with holling type functional responses
• Stoichiometry in producer-grazer systems: linking energy flow with element cycling
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Stoichiometric plant-herbivore models and their interpretation
• A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics
• Dynamics of a mechanistically derived stoichiometric producer-grazer model

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