Work

Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics

Year: 2024

Type: article

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.

Source: Journal of Nonlinear Science

DOI: 10.1007/s00332-024-10115-6

Authors: Mihály A. Vághy, Gábor Szederkényi

Institutions: Pázmány Péter Catholic University, HUN-REN Institute for Computer Science and Control

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090