Limit cycles of a three-dimensional bio-reactor with inhibition responses

DOI10.1007/s10910-008-9387-2zbMath1217.37086OpenAlexW2033846246MaRDI QIDQ552031

Le-Min Zhu

Publication date: 21 July 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-008-9387-2

zbMATH Keywords

limit cyclesglobal stabilitycenter manifoldcompetition model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Biochemistry, molecular biology (92C40)

Related Items (1)

Bifurcation in the stable manifold of a chemostat with general polynomial yields

Cites Work

• Unnamed Item
• A third order autonomous differential equation with almost periodic solutions
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• Food chains in the chemostat: Relationships between mean yield and complex dynamics
• A note on competition in the bioreactor with toxin
• Food chain chaos due to junction-fold point
• Competing Predators
• Food chain chaos with canard explosion

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