Kinetic and related models with applications in the natural sciences

Effective deficiency, and parametrizations of positive equilibria for generalized mass action systems

Casian Pantea

West Virginia University

We present conditions which guarantee a parametrization of the set of positive equilibria of a generalized mass-action system. We introduce the notion of effective deficiency for a generalized mass action system, and show that if this of zero, then the set of positive equilibria coincides with the parametrized set of complex-balanced equilibria. This is joint work with Matthew Johnston and Stefan Mueller.