The Permanence Conjecture for endotactic mass-action systems

An endotactic mass-action system is a mass-action system whose reaction network is endotactic, and a system is permanent when its trajectories remain uniformly separated from the boundary of the positive cone after the relevant long-time behavior. Permanence Conjecture. Every endotactic mass-action system is permanent. The conjecture was proposed as a statement implying the Global Attractor Conjecture, but the source does not specify its resolution status.

Sources & referencesView supporting material

Primary source

Chuang Xu, “First order endotactic reaction networks”, arXiv:2409.01598 (2025).

Additional references

2 papers in this index state this conjecture (2014–2024). The statement above is taken from the most recent of them; the others are arXiv:1412.4662.

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