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math.DS2026
Exploring Memory Effects: Sparse Identification in Vector-Borne Diseases
Dimitri Breda, Muhammad Tanveer, Jianhong Wu +1
Predicting the human burden of vector-borne diseases from limited surveillance data remains a major challenge, particularly in the presence of nonlinear transmission dynamics and d…
math.DS2025
Sparse identification of delay equations with distributed memory
Dimitri Breda, Muhammad Tanveer, Jianhong Wu
We present a novel extension of the SINDy framework to delay differential equations with {\it distributed delays} and {\it renewal equations}, where typically the dependence from t…
math.DS2024
Sparse identification of time delay systems via pseudospectral collocation
Enrico Bozzo, Dimitri Breda, Muhammad Tanveer
We present a pragmatic approach to the sparse identification of nonlinear dynamics for systems with discrete delays. It relies on approximating the underlying delay model with a sy…