Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production

DOI10.1016/j.nonrwa.2005.10.001zbMath1104.92059OpenAlexW1989977048MaRDI QIDQ867959

Edoardo Beretta, Paolo Fergola, Marianna Cerasuolo

Publication date: 19 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.10.001

zbMATH Keywords

global stabilitydistributed delayallelopathychemostat modelsquorum sensing

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• Delay differential equations: with applications in population dynamics
• Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production
• A competition model with dynamically allocated inhibitor production

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