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We study the problem of optimal control of the stochastic SIR model. Models of this type are used in mathematical epidemiology to capture the time evolution of highly infectious diseases such as COVID-19. Our approach relies on…

种群与进化 · 定量生物学 2020-05-04 Andrew Lesniewski

We model further development of the COVID-19 epidemic in the UK given the current data and assuming different scenarios of handling the epidemic. In this research, we further extend the stochastic model suggested in \cite{us} and…

种群与进化 · 定量生物学 2020-04-10 Anatoly Zhigljavsky , Roger Whitaker , Ivan Fesenko , Kobi Kremnizer , Jack Noonan

We approach the development of models and control strategies of susceptible-infected-susceptible (SIS) epidemic processes from the perspective of marked temporal point processes and stochastic optimal control of stochastic differential…

最优化与控制 · 数学 2018-12-04 Lars Lorch , Abir De , Samir Bhatt , William Trouleau , Utkarsh Upadhyay , Manuel Gomez-Rodriguez

We have established a novel mathematical model that considers various aspects of the spreading of the virus, including, the transmission based on being in the latent period, environment to human transmission, governmental decisions, and…

定量方法 · 定量生物学 2020-08-31 Kamran Soltani , Ghader Rezazadeh

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

定量方法 · 定量生物学 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

Computational models for the simulation of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) epidemic evolution would be extremely useful to support authorities in designing healthcare policies and lockdown measures to…

种群与进化 · 定量生物学 2020-04-20 Marco Paggi

The COVID-19 pandemic has brought forth the importance of epidemic forecasting for decision makers in multiple domains, ranging from public health to the economy as a whole. While forecasting epidemic progression is frequently…

A reasonable prediction of infectious diseases transmission process under different disease control strategies is an important reference point for policy makers. Here we established a dynamic transmission model via Python and realized…

种群与进化 · 定量生物学 2021-02-23 Yuxuan Zhang , Chen Gong , Dawei Li , Zhi-Wei Wang , Shengda D Pu , Alex W Robertson , Hong Yu , John Parrington

A study of changes in the transmission of a disease, in particular, a new disease like COVID-19, requires very flexible models which can capture, among others, the effects of non-pharmacological and pharmacological measures, changes in…

统计方法学 · 统计学 2026-05-07 Hristo Inouzhe , María Xosé Rodríguez-Álvarez , Lorenzo Nagar , Elena Akhmatskaya

Social distancing strategies have been adopted by governments to manage the COVID-19 pandemic, since the first outbreak began. However, further epidemic waves keep out the return of economic and social activities to their standard levels of…

最优化与控制 · 数学 2021-06-07 J. E. Sereno , A. D' Jorge , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

定量方法 · 定量生物学 2011-10-24 Alex Skvortsov , Branko Ristic

This paper introduces a spatiotemporal SEIQR epidemic model governed by a system of reaction-diffusion partial differential equations that incorporates optimal control strategies. The model captures the transmission dynamics of an…

动力系统 · 数学 2025-07-29 Achraf Zinihi , Matthias Ehrhardt , Moulay Rchid Sidi Ammi

After the breakout of the disease caused by the new virus COVID-19, the mitigation stage has been reached in most of the countries in the world. During this stage, a more accurate data analysis of the daily reported cases and other…

种群与进化 · 定量生物学 2020-07-01 S. Maltezos

The outbreak of COVID-19 in 2020 has led to a surge in the interest in the mathematical modeling of infectious diseases. Disease transmission may be modeled as compartmental models, in which the population under study is divided into…

种群与进化 · 定量生物学 2020-10-27 Malú Grave , Alvaro L. G. A. Coutinho

A generalisation of the Susceptible-Infectious model is made to include a time-dependent transmission rate, which leads to a close analytical expression in terms of a logistic function. The solution can be applied to any continuous function…

物理与社会 · 物理学 2020-10-08 L. Arturo Urena-Lopez , Alma X. Gonzalez-Morales

We propose a robust parameter estimation method for dynamical systems based on Statistical Learning techniques which aims to estimate a set of parameters that well fit the dynamics in order to obtain robust evidences about the qualitative…

统计方法学 · 统计学 2021-02-26 Diego Marcondes

Forecasting the evolution of contagion dynamics is still an open problem to which mechanistic models only offer a partial answer. To remain mathematically or computationally tractable, these models must rely on simplifying assumptions,…

物理与社会 · 物理学 2021-08-18 Charles Murphy , Edward Laurence , Antoine Allard

We present a phenomenological procedure of dealing with the COVID--19 data provided by government health agencies of eleven different countries. Instead of using the (exact or approximate) solutions to the SIR (or other) model(s) to fit the…

物理与社会 · 物理学 2020-12-02 Sergio A. Hojman , Felipe A. Asenjo

Severe infectious diseases such as the novel coronavirus (COVID-19) pose a huge threat to public health. Stringent control measures, such as school closures and stay-at-home orders, while having significant effects, also bring huge economic…

机器学习 · 计算机科学 2022-03-01 Runzhe Wan , Xinyu Zhang , Rui Song

The recent COVID-19 pandemic has thrown the importance of accurately forecasting contagion dynamics and learning infection parameters into sharp focus. At the same time, effective policy-making requires knowledge of the uncertainty on such…

机器学习 · 计算机科学 2025-07-04 Thomas Gaskin , Tim Conrad , Grigorios A. Pavliotis , Christof Schütte