随机多风险SIR大流行模型的路径积分控制。

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-06-01 DOI:10.1007/s12064-023-00388-y

Paramahansa Pramanik

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引用次数: 3

摘要

本文采用费曼型路径积分控制方法，递归构建了受疲劳动力学影响的健康目标函数，即具有风险群体贝叶斯意见动态的前瞻性随机多风险易感感染恢复(SIR)模型。我的主要兴趣在于解决政策制定者的社会成本最小化问题，这取决于一些确定性的权重。我从威克旋转Schrödinger-type方程中获得了最佳锁定强度，该方程类似于哈密顿-雅可比-贝尔曼(HJB)方程。我的公式基于路径积分控制和动态规划工具，便于分析并允许应用算法获得流行病控制模型的数值解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Path integral control of a stochastic multi-risk SIR pandemic model.

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Path integral control of a stochastic multi-risk SIR pandemic model.

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.