Extended permanence conjecture for confined endotactic reaction systems

Let $N$ be a confined endotactic reaction system, and let $\mathfrak M^\ell(N)$ denote its associated differential inclusion. A differential inclusion is permanent when its trajectories remain uniformly bounded away from the boundary and are bounded. Extended permanence conjecture. For every confined endotactic reaction system $N$, the differential inclusion $\mathfrak M^\ell(N)$ is permanent. This conjecture extends Feinberg's persistence conjecture by weakening weak reversibility to endotacticity, allowing variable rate constants, and strengthening persistence to permanence; it remains open.