Periodic trajectories of distributed parameter biochemical systems with time delay

DOI10.1016/j.amc.2011.12.086zbMath1242.92025OpenAlexW2040725069MaRDI QIDQ433282

Joseph J. Winkin, Peter R. Wolenski, Abdou K. Dramé, Denis Dochain

Publication date: 13 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.086

zbMATH Keywords

periodic solutionspartial functional differential equationsbiochemical reactor

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Periodic solutions to PDEs (35B10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Partial functional-differential equations (35R10)

Related Items (2)

Multi-dimensional path-dependent forward-backward stochastic variational inequalities ⋮ On the stability of a periodic solution of distributed parameters biochemical system

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
• Bifurcation analysis of a chemostat model with a distributed delay
• Periodic solutions for some partial functional differential equations
• Transient oscillations induced by delayed growth response in the chemostat
• Global periodic solutions for a differential delay system modeling a microbial population in the chemostat
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
• Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
• Asymptotic Behavior and Stability for Solutions of a Biochemical Reactor Distributed Parameter Model

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