Fabio Sanchez

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math.DS2026

What $R_{0}$ Deletes: Eigenvectors, Non-Normality, and the Social Content of the Basic Reproduction Number

Fabio Sanchez

The basic reproduction number is the spectral radius of a matrix, $R_{0} = I ¨ (K)$ . Taking that definition literally, we ask what $K \mapsto I ¨ (K)$ discards. A matrix carries three kinds…

math.DS2026

When Self-Protection Backfires: Adaptive Contact Behavior Expands the Endemic Basin in an Addiction Model with Nonlinear Relapse

Fabio Sanchez

We extend the Susceptible--Addicted--Reformed (SAR) model of \cite{sanchez2023}, which exhibits a forward--backward bifurcation driven by nonlinear relapse, by embedding an epi-eco…

What R0​ Deletes: Eigenvectors, Non-Normality, and the Social Content of the Basic Reproduction Number

When Self-Protection Backfires: Adaptive Contact Behavior Expands the Endemic Basin in an Addiction Model with Nonlinear Relapse

What $R_{0}$ Deletes: Eigenvectors, Non-Normality, and the Social Content of the Basic Reproduction Number