Boundedness of trajectories for weakly reversible, single linkage class reaction systems

Details Boundedness of trajectories for weakly reversible, single linkage class reaction systems Boundedness of trajectories for weakly reversible, single linkage class reaction systems

2011-04-26

arxiv.org/abs/1104.4992v2

Mathematics

Dynamical Systems

20 pages. Minor changes

Scientific paper

This paper is concerned with the dynamical properties of deterministically modeled chemical reaction systems with mass-action kinetics. Such models are ubiquitously found in chemistry, population biology, and the burgeoning field of systems biology. A basic question, whose answer remains largely unknown, is the following: for which network structures do trajectories of mass-action systems remain bounded in time? In this paper, we conjecture that the result holds when the reaction network is weakly reversible, and prove this conjecture in the case when the reaction network consists of a single linkage class, or connected component.

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