Delay mass-action systems provide a model of reaction networks in which past states influence the current dynamics. We obtain a graph-theoretic condition for delay stability related to linear stability independent of rate constants and delay parameters. The graph-theoretic condition involves cycles in the directed species-reaction graph of the network. Some interesting examples of sequestration networks with delays are presented.
This is joint work with George Craciun, Casian Pantea, and Polly Yu.
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