On persistence of some WI-endotactic chemical reaction networks
(2023) IEEE Transactions on Automatic Control — Vol. 99, p. 1-15 (2023)
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- Authors
Dochain, Denis 
- Abstract
- Motivated by the concept of the endotactic network, a kind of special geometric structure in chemical reaction networks developed for persistence analysis, we propose a new notion, named WI-endotactic network. The corresponding network set is a larger class of set than the endotactic network, let alone the weakly reversible network. Based on an energy-like function, we prove that all 1- dimensional mass-action WI-endotactic networks are persistent. Furthermore, we prove some higher dimensional network systems also to support persistence if the system is composed of a series of 1-dimensional WI-endotactic networks. We discuss two cases for the subsystems with and without intersecting species, and present the corresponding sufficient conditions to capture persistence. Finally, we use some examples including abstract and real biochemical reaction networks to illustrate our results.
- Affiliations
Citations
X. Zhang, Chuanhou Gao, & Dochain, D. (2023). On persistence of some WI-endotactic chemical reaction networks. IEEE Transactions on Automatic Control, 99, 1-15. https://hdl.handle.net/2078.5/218084 (Original work published 2023)