# Single-Target Networks

Source: [Single-Target Networks](<https://www.sota2.com/research/paper/68fa57b51e209131ce9a7aa8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T05:16:49.957Z

Authors: Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu

Published: 2020-06-01T18:30:37.000Z

## Abstract

We characterize the dynamics of all single-target networks under mass-action kinetics: either the system is (i) globally stable for all choice of rate constants (in fact, dynamically equivalent to a detailed-balanced system) or (ii) has no positive steady states for any choice of rate constants and all trajectories must converge to the boundary of the positive orthant or to infinity. Moreover, global stability occurs if and only if the target vertex of the network is in the relative interior of the convex hull of the source vertices.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2006.01192>)

[PDF](<https://arxiv.org/pdf/2006.01192.pdf>)