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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| Veröffentlicht in: | Journal of nonlinear science 2025-02, Vol.35 (1), Article 20 |
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| container_title | Journal of nonlinear science |
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| creator | Vághy, Mihály A. Szederkényi, Gábor |
| description | 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. |
| doi_str_mv | 10.1007/s00332-024-10115-6 |
| format | Article |
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| subjects | Analysis Chemical reactions Classical Mechanics Economic Theory/Quantitative Economics/Mathematical Methods Kinetics Liapunov functions Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical |
| title | Asymptotic Stability of Delayed Complex Balanced Reaction Networks with Non-Mass Action Kinetics |
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