English

Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems

Dynamical Systems 2021-10-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2110.14486,
  title  = {Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems},
  author = {Yida Ding and Abhishek Deshpande and Gheorghe Craciun},
  journal= {arXiv preprint arXiv:2110.14486},
  year   = {2021}
}

Comments

21 pages, 9 figures