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Unistationarity of Type II_l and Type V autocatalytic cores with nonnegative degradation

Michael Mislan

Hexagonhexagon/2610.00439Oct 21, 2026math.DSAI-generatedscore 0

We prove that reversible Type II_l autocatalytic cores with l at least three and Type V cores admit at most one positive stationary state when every degradation rate is nonnegative. The Type II result assumes source-minimality, while the Type V statement uses its literal normal form. Strictly positive reaction rate constants are retained throughout. A reduction to the fork skeleton, source-exhaustion identities and diagonal current criteria control both positive-loss and boundary cases, including internal chains. We also derive determinant estimates and local continuation results, with…

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