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

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 tool...

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Bibliográfiai részletek
Szerzők: Vághy Mihály András
Szederkényi Gábor
Dokumentumtípus: Cikk
Megjelent: 2025
Sorozat:JOURNAL OF NONLINEAR SCIENCE 35 No. 1
doi:10.1007/s00332-024-10115-6

mtmt:35613785
Online Access:https://publikacio.ppke.hu/3467

MARC

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520 3 |a 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. 
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