Vághy, Mihály András and Szederkényi, Gábor (2025) Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics. JOURNAL OF NONLINEAR SCIENCE, 35 (1). ISSN 0938-8974 10.1007/s00332-024-10115-6

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Abstract

We consider delayed chemical reaction networks with non-mass action monotone kinetics and show that complex balancing implies that within each positive stoichiometric compatibility class there is a unique positive equilibrium that is locally asymptotically stable relative to its class. The main tools of the proofs are respectively a version of the well-known classical logarithmic Lyapunov function applied to kinetic systems and its generalization to the delayed case as a Lyapunov–Krasovskii functional. Finally, we demonstrate our results through 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:	10 Jan 2025 08:36
Last Modified:	10 Jan 2025 08:36
URI:	https://eprints.sztaki.hu/id/eprint/10856

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