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Here we propose and implement a generalized mathematical model to find the time evolution of population in infectious diseases and apply the model to study the recent COVID-19 pandemic. Our model at the core is a non-local generalization of…

种群与进化 · 定量生物学 2020-05-01 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

Spatio-temporal epidemic forecasting is critical for public health management, yet existing methods often struggle with insensitivity to weak epidemic signals, over-simplified spatial relations, and unstable parameter estimation. To address…

机器学习 · 计算机科学 2026-05-22 Sijie Ruan , Jinyu Li , Jia Wei , Zenghao Xu , Jie Bao , Junshi Xu , Junyang Qiu , Shuliang Wang , Xiaoxiao Wang , Hanning Yuan

Combining data has become an indispensable tool for managing the current diversity and abundance of data. But, as data complexity and data volume swell, the computational demands of previously proposed models for combining data escalate…

统计方法学 · 统计学 2024-06-13 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

Health-policy planning requires evidence on the burden that epidemics place on healthcare systems. Multiple, often dependent, datasets provide a noisy and fragmented signal from the unobserved epidemic process including transmission and…

应用统计 · 统计学 2024-09-11 Alice Corbella , Anne M Presanis , Paul J Birrell , Daniela De Angelis

An ultrametric model of epidemic spread of infections based on the classical SIR model is proposed. Ultrametrics on a set of individuals based on theire hierarchical clustering relativly to the average time of infectious contact is…

物理与社会 · 物理学 2020-07-21 V. T. Volov , A. P. Zubarev

Traditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases affecting…

动力系统 · 数学 2015-04-21 Marcos Marvá , Ezio Venturino , Rafael Bravo de la Parra

The estimation of unknown parameters in simulations, also known as calibration, is crucial for practical management of epidemics and prediction of pandemic risk. A simple yet widely used approach is to estimate the parameters by minimizing…

统计方法学 · 统计学 2023-06-26 Chih-Li Sung , Ying Hung

The Covid-19 pandemic has made clear the need to improve modern multivariate time-series forecasting models. Current state of the art predictions of future daily deaths and, especially, hospital resource usage have confidence intervals that…

种群与进化 · 定量生物学 2020-06-25 Richard Bao , August Chen , Jethin Gowda , Shiva Mudide

In this paper, a generalized fractional-order SEIR model is proposed, denoted by SEIQRP model, which has a basic guiding significance for the prediction of the possible outbreak of infectious diseases like COVID-19 and other insect diseases…

种群与进化 · 定量生物学 2020-04-30 Conghui Xu , Yongguang Yu , QuanChen Yang , Zhenzhen Lu

Faced with the 2020 SARS-CoV2 epidemic, public health officials have been seeking models that could be used to predict not only the number of new cases but also the levels of hospitalisation, critical care and deaths. In this paper we…

种群与进化 · 定量生物学 2020-12-24 Jonathan Wells , Chris Robertson , Vincent Marmara , Alan Yeung , Adam Kleczkowski

In this paper, we consider a compartmental SIRS epidemic model with asymptomatic infection and seasonal succession, which is a periodic discontinuous differential system. The basic reproduction number $\mathcal{R}_0$ is defined and valuated…

动力系统 · 数学 2017-08-15 Yilei Tang , Dongmei Xiao , Weinian Zhang , Di Zhu

In this paper, we propose a sample-based moving horizon estimation (MHE) scheme for general nonlinear systems to estimate the current system state using irregularly and/or infrequently available measurements. The cost function of the MHE…

系统与控制 · 电气工程与系统科学 2026-03-24 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

In this paper we propose a novel SEIR stochastic epidemic model. A distinguishing feature of this new model is that it allows us to consider a set up under general latency and infectious period distributions. To some extent, queuing systems…

Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the modern human population. The configuration model is a popular…

种群与进化 · 定量生物学 2017-01-23 Frank Ball , Thomas House

We propose a general Bayesian approach to modeling epidemics such as COVID-19. The approach grew out of specific analyses conducted during the pandemic, in particular an analysis concerning the effects of non-pharmaceutical interventions…

应用统计 · 统计学 2021-01-01 Samir Bhatt , Neil Ferguson , Seth Flaxman , Axel Gandy , Swapnil Mishra , James A. Scott

We present a new Bayesian inference method for compartmental models that takes into account the intrinsic stochasticity of the process. We show how to formulate a SIR-type Markov jump process as the solution of a stochastic differential…

统计方法学 · 统计学 2020-04-23 Benjamin Nguyen-Van-Yen , Pierre Del Moral , Bernard Cazelles

Forecasting influenza like illnesses (ILI) has rapidly progressed in recent years from an art to a science with a plethora of data-driven methods. While these methods have achieved qualified success, their applicability is limited due to…

机器学习 · 计算机科学 2021-01-26 Alexander Rodríguez , Bijaya Adhikari , Naren Ramakrishnan , B. Aditya Prakash

Epidemic modeling is an essential tool to understand the spread of the novel coronavirus and ultimately assist in disease prevention, policymaking, and resource allocation. In this article, we establish a state of the art interface between…

应用统计 · 统计学 2020-12-17 Li Wang , Guannan Wang , Lei Gao , Xinyi Li , Shan Yu , Myungjin Kim , Yueying Wang , Zhiling Gu

The surprisingly mercurial Covid-19 pandemic has highlighted the need to not only accelerate research on infectious disease, but to also study them using novel techniques and perspectives. A major contributor to the difficulty of containing…

种群与进化 · 定量生物学 2022-07-21 Aminur Rahman , Angela Peace , Ramesh Kesawan , Souparno Ghosh

Sequential Monte Carlo (SMC) methods offer a principled approach to Bayesian uncertainty quantification but are traditionally limited by the need for full-batch gradient evaluations. We introduce a scalable variant by incorporating…

机器学习 · 统计学 2025-05-20 Andrew Millard , Zheng Zhao , Joshua Murphy , Simon Maskell