Molnár, Gyula and Vághy, Mihály András and Szederkényi, Gábor (2025) Stability of biochemical reaction networks with general kinetics and distributed time delays. JOURNAL OF MATHEMATICAL CHEMISTRY, 63. ISSN 0259-9791 10.1007/s10910-025-01756-3

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Abstract

Distributed delays play an important role in biological modeling, and are often inevitable to obtain a sufficiently precise quantitative description of certain important processes. It is known from previous studies that mass-action type complex balanced chemical reaction networks (CRNs) containing distributed delays are stable. In this paper, we consider complex balanced biochemical reaction networks with distributed delays, containing a general class of reaction rates including Michaelis–Menten and Hill-type kinetics. We show that for integrable delay distributions defined on a finite time interval, there exists precisely one equilibrium in each stoichiometric compatibility class. The local stability of the equilibria is shown using a logarithmic Lyapunov–Krasovski functional. The theoretical results are demonstrated through two illustrative examples.

Item Type:	Article
Subjects:	Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions:	Systems and Control Lab
SWORD Depositor:	MTMT Injector
Depositing User:	MTMT Injector
Date Deposited:	17 Dec 2025 07:30
Last Modified:	17 Dec 2025 07:30
URI:	https://eprints.sztaki.hu/id/eprint/11002

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