PreprintCC BY 4.0arXiv
Persistence of bounded trajectories in positively transverse reaction networks
Abstract
We introduce positively transverse reaction networks and show that, with mass-action kinetics, no bounded trajectory with positive initial condition has a boundary omega-limit point. These networks are characterized by a geometric property of a collection of polytopes defined by a subset of complexes of the network.
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BibTeX
@misc{feliu2026persistence,
title = {{Persistence of bounded trajectories in positively transverse reaction networks}},
author = {Elisenda Feliu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11679},
eprint = {2610.11679},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11679},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Persistence of bounded trajectories in positively transverse reaction networks
AU - Elisenda Feliu
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11679
UR - https://arxiv.org/abs/2610.11679
AB - We introduce positively transverse reaction networks and show that, with mass-action kinetics, no bounded trajectory with positive initial condition has a boundary omega-limit point. These networks are characterized by a geometric property of a collection of polytopes defined by a subset of complexes of the network.
ER -