A model of allelopathy in the context of bacteriocin production

DOI10.1016/j.amc.2006.06.038zbMath1104.92056OpenAlexW2034733822MaRDI QIDQ865532

Lorraine M. Braselton, James P. Braselton, Martha L. Abell

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.038

zbMATH Keywords

competitionchemostatallelopathyDulac criterionmutationbacteriocinRouth-Hurwitz

Mathematics Subject Classification ID

Problems related to evolution (92D15) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Physiological, cellular and medical topics (92C99)

Related Items (2)

Dynamics of a model of allelopathy and bacteriocin with a single mutation ⋮ Toxin-mediated competition in weakly motile bacteria

Cites Work

• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Competition in the chemostat when one competitor produces a toxin
• Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat
• A survey of mathematical models of competition with an inhibitor.
• Microbial Competition
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Stability, Instability and Chaos
• The Theory of the Chemostat
• A competition model with dynamically allocated inhibitor production
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