9 problems

Let $NN_1$ be a reaction network, and suppose there is a weakly reversible reaction network $NN_2$ of deficiency $delta$ such that every differential equation induced by $NN_1$ wit…

A reaction network is a directed network of complexes whose mass-action kinetics induces a kinetic differential equation; it is weakly reversible when every reaction lies in a stro…

Let $K_{m,n}$ be the sequestration network with $n$ reactions and $n$ species, and let $\widetilde K_{m,n}$ denote its fully open extension. A steady state is nondegenerate when it…

Persistence conjecture, bounded-trajectory version. Any weakly reversible reaction network with mass-action kinetics and bounded trajectories is persistent.

Boundedness conjecture. Any weakly reversible reaction network with mass-action kinetics has bounded trajectories.

Boundedness conjecture. All trajectories of weakly reversible mass-action systems are bounded.

Persistence conjecture. Any weakly reversible mass-action system is persistent.

Permanence conjecture. Endotactic $\kappa$-variable mass-action systems are permanent for any number of species.

Persistence conjecture. Any weakly reversible mass-action system is persistent.