## 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

Abstract:

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.