Endotactic Networks and Toric Differential Inclusions

DOI10.1137/19M1269312zbMath1461.37077arXiv1906.08384OpenAlexW3048755236MaRDI QIDQ4964243

Abhishek Deshpande, Gheorghe Craciun

Publication date: 25 February 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.08384

zbMATH Keywords

differential inclusionspersistencepermanencemass-action kineticsreaction networksendotactic networks

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Dynamical systems in biology (37N25) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Dynamical aspects of statistical mechanics (37A60) Nonautonomous smooth dynamical systems (37C60)

Related Items (7)

The Disguised Toric Locus and Affine Equivalence of Reaction Networks ⋮ Source-Only Realizations, Weakly Reversible Deficiency One Networks, and Dynamical Equivalence ⋮ On the connectivity of the disguised toric locus of a reaction network ⋮ Quasi-toric differential inclusions ⋮ Minimal invariant regions and minimal globally attracting regions for toric differential inclusions ⋮ Minimal invariant regions and minimal globally attracting regions for variable-k reaction systems ⋮ Autocatalytic recombination systems: a reaction network perspective

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