Triangularity of the Jacobian on siphon faces, the Metzler property of its transversal component and other results
The paper connects Chemical Reaction Networks Theory (CRNT) to mathematical epidemiology by using concepts like siphons to prove theorems about stability. It shows that boundary-face invariance forces Jacobian blocks to vanish, simplifying analysis. By analyzing 'Child Selection minors,' the authors classify instability mechanisms, revealing conditions for periodic solutions like Hopf bifurcations in epidemic models.