3 papers
q-bio.PE2026
Macroscopic Signatures of Gauge-Mediated Contagion: Deriving Behavioral Shielding from Stochastic Field Theory
Jose de Jesus Bernal-Alvarado, David Delepine
We present a unified theoretical model relating stochastic microscopic epidemic dynamics with macroscopic non-linear population behavior. Utilizing the Doi-Peliti formalism, we mod…
cond-mat.stat-mech2026
Fractional epidemics from quantum loops
Jose Jesus Bernal-Alvarado, David Delepine
Classical compartmental models of epidemiology rely on well-mixed, local interaction approximations that fail to capture the heavy-tailed burst dynamics and long-range spatial corr…
physics.soc-ph2026
A Universal Convolution-Based Pre-processor to Correct the Prevalence-Incidence Gap in SIR, SEIR, and SIRS Modeling
Jose de Jesus Bernal-Alvarado, David Delepine
Traditional compartmental models, including SIR, SEIR, and SIRS frameworks, remain the analytical standard for epidemic forecasting. However, real-world data validation consistentl…