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Forward-Invariant Peeling in Chemical Dynamics: a Simple Case Study

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journal contribution
posted on 21.03.2017, 10:12 by A. N. Gorban
Forward-invariant peeling aims to produce forward-invariant subset from a given set in phase space. The structure of chemical kinetic equations allows us to describe the general operations of the forward-invariant peeling. For example, we study a simple reaction network with three components A1,A2,A3 and reactions A1 → A2 → A3 → A1, 2A1 ⇌ 3A2 (without any stoichiometric conservation law). We assume that kinetics obey the classical mass action law and reaction rate constants are positive intervals 0 0). In particular, this construction proves persistence of this kinetic system (a positive solution cannot approach the origin even asymptotically, as t → ∞).

History

Citation

Mathematical Modelling of Natural Phenomena, 2015, 10 (5), pp. 126-134 (9)

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

VoR (Version of Record)

Published in

Mathematical Modelling of Natural Phenomena

Publisher

EDP Sciences, Cambridge University Press (CUP)

issn

0973-5348

eissn

1760-6101

Copyright date

2015

Available date

21/03/2017

Publisher version

http://www.mmnp-journal.org/articles/mmnp/abs/2015/05/mmnp201510p126/mmnp201510p126.html

Notes

Mathematics Subject Classification: 37C10, 34D20, 93D05

Language

en