Competitive exclusion and coexistence in a stoichiometric chemostat model

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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Competition between microorganisms for a single limiting resource with cell quota structure and spatial variation
Global analysis of a stoichiometric producer-grazer model with holling type functional responses
A stoichiometric organic matter decomposition model in a chemostat culture
Persistence in models of three interacting predator-prey populations
Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
Uniform persistence and flows near a closed positively invariant set
Transient oscillations induced by delayed growth response in the chemostat
Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat
A stoichiometrically derived algal growth model and its global analysis
Uniform persistence in a prey-predator model with a diseased predator
Competitive Exclusion in Delayed Chemostat Models with Differential Removal Rates
A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
Limiting Behavior for Competing Species
Transient Dynamics of a Stoichiometric Cyanobacteria Model via Multiple-Scale Analysis
Dynamics of Stoichiometric Bacteria-Algae Interactions in the Epilimnion

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