Persistence and stability of a class of kinetic compartmental models

The paper proves persistence via Petri-net siphon structure plus Angeli–De Leenheer–Sontag’s criterion, and proves existence/uniqueness/global attraction of an equilibrium on each invariant hyperplane by combining cooperativity/irreducibility, a repelling boundary, and the monotone first-integral theory. The candidate solution reproduces the same overall proof strategy. A minor gap is that, when invoking the siphon criterion, the candidate did not explicitly handle the two special siphons N and S with conservation laws supported entirely in N or S (sum of n’s or sum of s’s); the paper makes this point implicitly through its structural results. Aside from this small omission, the arguments align.