Global convergence in systems of differential equations arising from chemical reaction networks
Article
Banaji, M. and Mierczyński, J. 2012. Global convergence in systems of differential equations arising from chemical reaction networks. Journal of Differential Equations. 254 (3), pp. 1359-1374. https://doi.org/10.1016/j.jde.2012.10.018
Type | Article |
---|---|
Title | Global convergence in systems of differential equations arising from chemical reaction networks |
Authors | Banaji, M. and Mierczyński, J. |
Abstract | It is shown that certain classes of differential equations arising from the modelling of chemical reaction networks have the following property: the state space is foliated by invariant subspaces each of which contains a unique equilibrium which, in turn, attracts all initial conditions on the associated subspace. |
Journal | Journal of Differential Equations |
ISSN | 0022-0396 |
Publication dates | |
01 Nov 2012 | |
Publication process dates | |
Deposited | 23 Sep 2016 |
Accepted | 21 Oct 2012 |
Output status | Published |
Accepted author manuscript | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.jde.2012.10.018 |
Language | English |
Permalink -
https://repository.mdx.ac.uk/item/869x4
Download files
24
total views15
total downloads2
views this month4
downloads this month
Export as
Related outputs
Splitting reactions preserves nondegenerate behaviors in chemical reaction networks
Banaji, M. 2023. Splitting reactions preserves nondegenerate behaviors in chemical reaction networks. SIAM Journal on Applied Mathematics. 83 (2), pp. 748-769. https://doi.org/10.1137/22m1478392The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation
Banaji, M., Boros, B. and Hofbauer, J. 2023. The smallest bimolecular mass-action system with a vertical Andronov–Hopf bifurcation. Applied Mathematics Letters. 143. https://doi.org/10.1016/j.aml.2023.108671The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation
Banaji, M. and Boros, B. 2023. The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation. Nonlinearity. 36 (2), pp. 1398-1433. https://doi.org/10.1088/1361-6544/acb0a8