Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems
- Resource Type
- Working Paper
- Authors
- Ding, Yida; Deshpande, Abhishek; Craciun, Gheorghe
- Source
- Subject
- Mathematics - Dynamical Systems
37N25, 80A30, 92C45, 92E20, 14M25
- Language
The structure of invariant regions and globally attracting regions is fundamental to understanding the dynamical properties of reaction network models. We describe an explicit construction of the minimal invariant regions and minimal globally attracting regions for dynamical systems consisting of two reversible reactions, where the rate constants are allowed to vary in time within a bounded interval.
Comment: 21 pages, 9 figures