# On global stability of the Lotka reactions with generalized mass-action kinetics

Source: [On global stability of the Lotka reactions with generalized mass-action kinetics](<https://www.sota2.com/research/paper/68fa59991e209131ce9b8a19>)

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

Data updated: 2025-10-25T16:01:03.052Z

Authors: Bal\\'azs Boros, Josef Hofbauer, Stefan M\\"uller

Published: 2016-11-17T15:59:18.000Z

## Abstract

Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions with two chemical species and arbitrary power-law kinetics. We study existence, uniqueness, and stability of the positive equilibrium, in particular, we characterize its global asymptotic stability in terms of the kinetic orders.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1611.05748>)

[PDF](<https://arxiv.org/pdf/1611.05748.pdf>)