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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| Format: | Article |
| Published: |
2025
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| Series: | JOURNAL OF NONLINEAR SCIENCE
35 No. 1 |
| doi: | 10.1007/s00332-024-10115-6 |
| mtmt: | 35613785 |
| Online Access: | https://publikacio.ppke.hu/3467 |
| Summary: | 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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| ISSN: | 0938-8974 |