Stability of biochemical reaction tanks

DOI10.1016/0898-1221(83)90063-9zbMath0514.92025OpenAlexW2021064026MaRDI QIDQ1051577

Kenneth E. Swick, James C. Frauenthal

Publication date: 1983

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(83)90063-9

zbMATH Keywords

limit cycle oscillationsstability of biochemical reaction tanks

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Physiological, cellular and medical topics (92Cxx) Chemistry (92Exx)

Related Items (8)

The stability of a nonlinear, age dependent population model, as applied to a biochemical reaction tank ⋮ Hopf bifurcation and the stability of non-linear age-dependent population models ⋮ ON THE STABILITY OF A NON-LINEAR AGE-DEPENDENT POPULATION MODEL ⋮ Stable controls in age-dependent population dynamics ⋮ On the Gurtin-MacCamy conjecture concerning the stability of a simple nonlinear age-dependent population model ⋮ Viable controls in age-dependent population dynamics ⋮ Equilibria in structured populations ⋮ A simplified model for age-dependent population dynamics

Cites Work

• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Some simple models for nonlinear age-dependent population dynamics
• The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback

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