Computationally Checking if a Reaction Network is Monotone or Non-expansive
Dynamical Systems
2025-01-28 v2 Molecular Networks
Abstract
We present a systematic procedure for testing whether reaction networks exhibit non-expansivity or monotonicity. This procedure identifies explicit norms under which a network is non-expansive or cones for which the system is monotone-or provides proof that no such structures exist. Our approach reproduces known results, generates novel findings, and demonstrates that certain reaction networks cannot exhibit monotonicity or non-expansivity with respect to any cone or norm. Additionally, we establish a duality relationship which states that if a network is monotone, so is its dual network.
Keywords
Cite
@article{arxiv.2409.12487,
title = {Computationally Checking if a Reaction Network is Monotone or Non-expansive},
author = {Alon Duvall},
journal= {arXiv preprint arXiv:2409.12487},
year = {2025}
}