Stability of periodic solutions for a model of genetic repression with delays

DOI10.1007/BF00275712zbMath0563.92008OpenAlexW2004787504WikidataQ113909303 ScholiaQ113909303MaRDI QIDQ1057790

Joseph M. Mahaffy

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00275712

zbMATH Keywords

periodic orbitsHopf bifurcationdelay differential equationsgenetic repressioncontrol of protein biosynthesis

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability theory of functional-differential equations (34K20) Genetics and epigenetics (92D10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Physiological, cellular and medical topics (92Cxx)

Related Items (3)

Oscillations and multiple steady states in a cyclic gene model with repression ⋮ Age-structured and two-delay models for erythropoiesis ⋮ The Poincaré-Bendixson theorem for monotone cyclic feedback systems

Cites Work

• The Hopf bifurcation: A stability result and application
• Hopf bifurcation calculations for functional differential equations
• Periodic solutions for certain protein synthesis models
• The qualitative dynamics of a class of biochemical control circuits
• A global stability criterion for simple control loops
• A test for stability of linear differential delay equations
• Global asymptotic stability of certain models for protein synthesis and repression
• Unnamed Item

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