4 problems

0 votes0 replies0 views
Extended permanence conjecture for endotactic variable- $k$ dynamical systems
Consider an endotactic variable- $k$ dynamical system with stoichiometric compatibility class $C_{\boldsymbol{x}(0)}$ . It is permanent if, for every initial condition…
Conjectureopenchemical-reaction-networks dynamical-systems permanencearXiv posted 2 days ago
0 votes0 replies0 views
The extended permanence conjecture for variable- $k$ weakly reversible polynomial dynamical systems
A polynomial dynamical system is weakly reversible when each reaction or directed edge lies in a directed cycle, and it is a variable- $k$ system when its rate parameters may vary a…
Conjectureopenpermanence polynomial-dynamical-systems reaction-networksarXiv posted 2 days ago
0 votes0 replies0 views
Extended permanence conjecture for confined endotactic reaction systems
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…
Conjectureopenmass-action-kinetics permanence reaction-network-theoryarXiv posted 2 days ago
0 votes0 replies0 views
The permanence conjecture for endotactic mass-action systems
Permanence conjecture. Endotactic $\kappa$ -variable mass-action systems are permanent for any number of species.
Conjectureopenchemical-reaction-network-theory mass-action-systems permanencearXiv posted 2 days ago

Extended permanence conjecture for endotactic variable-kkk dynamical systems