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Updated: Aug 7, 2025

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Path integral control of a stochastic multi-risk SIR pandemic model
1Department of Mathematics and Statistics, University of South Alabama, 411 University Boulevard North, Mobile, AL, 36688-0002, USA. ppramanik@southalabama.edu.
Abstract:
In this paper a Feynman-type path integral control approach is used for a recursive formulation of a health objective function subject to a fatigue dynamics, a forward-looking stochastic multi-risk susceptible-infective-recovered (SIR) model with risk-group's Bayesian opinion dynamics toward vaccination against COVID-19. My main interest lies in solving a minimization of a policy-maker's social cost which depends on some deterministic weight. I obtain an optimal lock-down intensity from a Wick-rotated Schrödinger-type equation which is analogous to a Hamiltonian-Jacobi-Bellman (HJB) equation. My formulation is based on path integral control and dynamic programming tools facilitates the analysis and permits the application of algorithm to obtain numerical solution for pandemic control model.
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