Anderson's boundedness conjecture for weakly reversible mass-action systems

A weakly reversible mass-action kinetics ODE system is a system whose reaction network is weakly reversible and whose dynamics follow mass-action kinetics. Boundedness conjecture. Every weakly reversible mass-action kinetics ODE system has bounded trajectories. The conjecture is known for complex-balanced systems by the Lyapunov function, and was resolved for one-linkage-class mass-action ODE systems under additional mild hypotheses; the general claim is not established by the supplied source.