Derives computable two-sided a posteriori error bounds for PINN approximations of ODEs using localized strong monotonicity for lower bounds and one-sided Lipschitz for upper bounds.
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A Bayesian model for multi-feature contact matrices that uses tensor structures and contingency table theory to satisfy structural constraints and impute missing contact features, validated on simulations and US/German survey data.
Isabelle/HOL proofs establish conservation, monotonicity, compartment bounds, and threshold conditions for the SIR ODE by bridging AFP local flows to global forward solutions with reusable scalar lemmas.
Bayesian state-space modeling reveals that local spread and within-herd transmission each account for about half of S. Dublin force of infection on Öland, with average Rt near 1.
Protective behavior driven by disease information can either suppress or prolong mosquito-borne epidemics and may generate recurrent damped waves, with the net effect depending on transmission parameters and host composition.
A temperature-driven reaction-diffusion model qualitatively reproduces the spatial spread patterns of Usutu virus in Germany and neighboring countries.
A review of data sources, uncertainty incorporation methods, and open challenges in constructing contact matrices for infectious disease epidemiology.
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