Dynamics of a model of allelopathy and bacteriocin with a single mutation

DOI10.1016/J.NONRWA.2010.07.008zbMath1209.34061OpenAlexW2036648285WikidataQ42389513 ScholiaQ42389513MaRDI QIDQ611292

Xingwu Chen, Shigui Ruan, Lan Zou, Wei Nian Zhang

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2968750

zbMATH Keywords

bifurcationpopulation dynamicscenter manifoldsaddle-nodeindex of equilibrium

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (1)

A competitive model in a chemostat with nutrient recycling and antibiotic treatment

Cites Work

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• A model of allelopathy in the context of bacteriocin production
• Applications of centre manifold theory
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat
• A survey of mathematical models of competition with an inhibitor.
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms

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