# On the multistationarity of chemical reaction networks

**Authors:** Marcelle Kaufman (ULB), Christophe Soul\'e (IHES)

arXiv: 1903.06499 · 2019-03-18

## TL;DR

This paper proposes a new conjecture outlining a necessary condition for chemical reaction networks to exhibit multistationarity, supported by examples and extending known results for monotonic kinetics.

## Contribution

It introduces a novel conjecture on multistationarity conditions in chemical networks, expanding understanding beyond strictly monotonic kinetics.

## Key findings

- The conjecture is supported by multiple illustrative examples.
- It extends the known theorem for strictly monotonic kinetics.
- Provides a new perspective on conditions for multistationarity.

## Abstract

We present a new conjecture about a necessary condition that a (bio)chemical network has to satisfy for it to exhibit multistationarity. According to a Theorem of Feliu and Wiuf [27, 12], the conjecture is known for strictly monotonic kinetics. We give several examples illustrating our conjecture.

## Full text

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## Figures

10 figures with captions in the complete paper: https://tomesphere.com/paper/1903.06499/full.md

## References

27 references — full list in the complete paper: https://tomesphere.com/paper/1903.06499/full.md

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Source: https://tomesphere.com/paper/1903.06499