10 problems

Non-product-form conjecture. Then $\mathcal{G}$ has a non-product-form stationary distribution independently of the reaction rate; equivalently, it belongs to class N.

Persistence Conjecture. Every weakly reversible mass action system is persistent.

Global Attractor Conjecture. The unique complex-balanced steady state in each positive stoichiometric compatibility class of a complex-balanced mass action system is a global attra…

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.…

An endotactic reaction network is a reaction network satisfying the endotactic geometric condition, and a network is permanent when its mass-action differential inclusion is perman…

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…

Let $N$ be a confined, weakly reversible reaction system, and let $\mathfrak M(N)$ denote its associated mass-action differential inclusion. Say that $\mathfrak M(N)$ is repelled b…

Let $N$ be a confined endotactic reaction system, and let $\mathfrak M^\ell(N)$ denote its associated differential inclusion. A differential inclusion is permanent when its traject…

Let $N$ be a confined, weakly reversible mass-action ordinary differential equation system, and let $\mathfrak M^\ell(N)$ denote its associated differential inclusion. A differenti…

Consider a reversible reaction system and a detailed balanced equilibrium, meaning an equilibrium satisfying detailed balance for every reversible reaction. A trajectory is a solut…