Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class
Dynamical Systems
2022-09-14 v2
Abstract
We give a new proof of the fact that each weakly reversible mass-action system with a single linkage class is permanent.
Cite
@article{arxiv.1903.03071,
title = {Permanence of Weakly Reversible Mass-Action Systems with a Single Linkage Class},
author = {Balázs Boros and Josef Hofbauer},
journal= {arXiv preprint arXiv:1903.03071},
year = {2022}
}
Related papers
View all related →
Dynamical Systems · Mathematics
Existence of Positive Steady States for Weakly Reversible Mass-Action Systems
Balázs Boros
2022-09-14
Molecular Networks · Quantitative Biology
Weakly reversible mass-action systems with infinitely many positive steady states
Balázs Boros, Gheorghe Craciun, Polly Y. Yu
2022-09-14
Dynamical Systems · Mathematics
Boundedness of trajectories for weakly reversible, single linkage class reaction systems
David F. Anderson
2011-06-20
Probability · Mathematics
Stochastically modeled weakly reversible reaction networks with a single linkage class
David F. Anderson, Daniele Cappelletti, Jinsu Kim
2020-01-17
Dynamical Systems · Mathematics
On the dependence of the existence of the positive steady states on the rate coefficients for deficiency-one mass action systems: single linkage class
Balázs Boros
2022-09-14
Dynamical Systems · Mathematics
Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
2023-03-06
Dynamical Systems · Mathematics
Persistence and permanence of mass-action and power-law dynamical systems
Gheorghe Craciun, Fedor Nazarov, Casian Pantea
2011-03-03
Molecular Networks · Quantitative Biology
Existence of Positive Steady States for Mass Conserving and Mass-Action Chemical Reaction Networks with a Single Terminal-Linkage Class
Santiago Akle, Onkar Dalal, Ronan M. T. Fleming, Michael Saunders +2
2015-03-19
Dynamical Systems · Mathematics
Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems
Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu
2021-05-18
Dynamical Systems · Mathematics
Weak Dynamic Non-Emptiability and Persistence of Chemical Kinetics Systems
Matthew D. Johnston, David Siegel
2014-07-15
Quantitative Methods · Quantitative Biology
On the steady states of weakly reversible chemical reaction networks
Jian Deng, Christopher Jones, Martin Feinberg, Adrian Nachman
2011-11-14
Dynamical Systems · Mathematics
Some dynamical properties of delayed weakly reversible mass-action systems
Xiaoyu Zhang, Tian Zhang, Chuanhou Gao
2024-03-14
Dynamical Systems · Mathematics
Endotactic and strongly endotactic networks with infinitely many positive steady states
Samay Kothari, Abhishek Deshpande
2023-03-16
Analysis of PDEs · Mathematics
A strong unique continuation property for weakly coupled elliptic systems
Mónica Clapp, Víctor Hernández-Santamaría, Alberto Saldaña
2024-10-29
Analysis of PDEs · Mathematics
Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems
Philippe Laurençot, Bogdan-Vasile Matioc
2022-07-04
Dynamical Systems · Mathematics
On the persistence and global stability of mass-action systems
Casian Pantea
2012-03-21
Dynamical Systems · Mathematics
Computing Weakly Reversible Linearly Conjugate Chemical Reaction Networks with Minimal Deficiency
Matthew D. Johnston, David Siegel, Gábor Szederkényi
2014-07-15
Analysis of PDEs · Mathematics
Regularity of weak solutions to rate-independent systems in one-dimension
Mach Nguyet Minh
2016-02-11
Dynamical Systems · Mathematics
Source-only realizations, weakly reversible deficiency one networks and dynamical equivalence
Abhishek Deshpande
2022-05-03
Dynamical Systems · Mathematics
Weakly reversible deficiency one realizations of polynomial dynamical systems: an algorithmic perspective
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
2023-03-17
Dynamical Systems · Mathematics
Rigidity Sequences of Power Rationally Weakly Mixing Transformations
Terrence M. Adams
2015-03-20
Logic in Computer Science · Computer Science
Category of asynchronous systems and polygonal morphisms
Ahmet A. Husainov
2019-08-06
Molecular Networks · Quantitative Biology
Weakly reversible deficiency zero realizations of reaction networks
Neal Buxton, Gheorghe Craciun, Abhishek Deshpande, Casian Pantea
2025-02-26
Probability · Mathematics
Long term behaviour of a reversible system of interacting random walks
Svante Janson, Vadim Shcherbakov, Stanislav Volkov
2019-02-20
Functional Analysis · Mathematics
Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets
Bui Ngoc Muoi, Ngai-Ching Wong
2022-11-29