Feinberg's persistence conjecture for weakly reversible mass-action systems

A weakly reversible mass-action kinetics ODE system is a system whose reaction network is weakly reversible, with dynamics governed by mass-action kinetics. A system is persistent when trajectories with positive initial conditions do not approach the boundary of the nonnegative concentration space. Persistence conjecture. Every weakly reversible mass-action kinetics ODE system is persistent. This was stated by Feinberg in 1987 and generalizes the Global Attractor Conjecture; its status is not resolved in the supplied source.