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During 2020, the infection rate of COVID-19 has been investigated by many scholars from different research fields. In this context, reliable and interpretable forecasts of disease incidents are a vital tool for policymakers to manage…

Machine Learning · Computer Science 2021-01-05 Cornelius Fritz , Emilio Dorigatti , David Rügamer

Partial differential equation (PDE) models for infectious diseases, while less common than their ordinary differential equation (ODE) counterparts, have found successful applications for many years. Such models are typically of…

Populations and Evolution · Quantitative Biology 2026-01-27 Alex Viguerie , Malú Grave , Alvaro L. G. A. Coutinho , Alessandro Veneziani , Thomas J. R. Hughes

We recently described a dynamic causal model of a COVID-19 outbreak within a single region. Here, we combine several of these (epidemic) models to create a (pandemic) model of viral spread among regions. Our focus is on a second wave of new…

The COVID-19 crisis has shown that we can only prevent the risk of mass contagion through timely, large-scale, coordinated, and decisive actions. However, frequently the models used by experts [from whom decision-makers get their main…

Applications · Statistics 2021-03-08 Mauricio Herrera

Europe was hit hard by the COVID-19 pandemic and Portugal was one of the most affected countries, having suffered three waves in the first twelve months. Approximately between Jan 19th and Feb 5th 2021 Portugal was the country in the world…

Human mobility is an important factor in the propagation of infectious diseases. In particular, the spatial spread of a disease is a consequence of human mobility. On the other hand, the control strategies based on mobility restrictions are…

We have two main aims in this paper. First we use theories of disease spreading on networks to look at the COVID-19 epidemic on the basis of individual contacts -- these give rise to predictions which are often rather different from the…

Physics and Society · Physics 2020-05-04 Arnab Majumdar , Anita Mehta

From late December, 2019, the novel Corona-Virus began to spread in the mainland of China. For predicting the trend of the Corona Virus spread, several time delay dynamic systems (TDD) are proposed. In this paper, we establish a novel…

Physics and Society · Physics 2020-02-25 Yu Chen , Jin Cheng , Xiaoying Jiang , Xiang Xu

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

Populations and Evolution · Quantitative Biology 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

In this work, we develop a spatial SEIAR-type epidemic model considering a quarantined population (denoted as Q), which we call the SQEIAR model. The dynamics of the SQEIAR model are described by six Partial Differential Equations (PDEs)…

Dynamical Systems · Mathematics 2025-01-27 Elghandouri Mohammed , Ezzinbi Khalil , Youness Mezzan

We present Coronavirus disease 2019 (COVID-19) statistics in China dataset: daily statistics of the COVID-19 outbreak in China at the city/county level. For each city/country, we include the six most important numbers for epidemic research:…

Populations and Evolution · Quantitative Biology 2020-04-08 Wenyuan Liu , Peter Tsung-Wen Yen , Siew Ann Cheong

This paper investigates the impact of human activity and mobility (HAM) in the spreading dynamics of an epidemic. Specifically, it explores the interconnections between HAM and its effect on the early spread of the COVID-19 virus. During…

Physics and Society · Physics 2021-08-06 Shakib Mustavee , Shaurya Agarwal , Chinwendu Enyioha , Suddhasattwa Das

We study Covid-19 spreading dynamics underlying 84 curves of daily Covid-19 infection rates pertaining to 84 districts belonging to the largest seven cities in Taiwan during her pristine surge period. Our computational developments begin…

Applications · Statistics 2022-11-22 Ting-Li Chen , Elizabeth P. Chou , Min-Yi Chen , Hsieh Fushing

Understanding how interurban movements can modify the spatial distribution of the population is important for transport planning but is also a fundamental ingredient for epidemic modeling. We focus here on vacation trips (for all…

Physics and Society · Physics 2020-03-17 Jiachen Ye , Qitong Hu , Peng Ji , Marc Barthelemy

The main focus of this chapter is on public health control strategies which are currently the main way to mitigate COVID-19 pandemic. We introduce and compare compartmental models of increasing complexity for COVID-19 transmission to…

Populations and Evolution · Quantitative Biology 2020-12-14 Redouane Qesmi , Aayah Hammoumi

We developed a model and a software package for stochastic simulations of transmission of COVID-19 and other similar infectious diseases, that takes into account contact network structures and geographical distribution of population…

Populations and Evolution · Quantitative Biology 2021-05-19 Alexander Temerev , Liudmila Rozanova , Olivia Keiser , Janne Estill

Stochastic epidemic models which incorporate interactions between space and human mobility are a key tool to inform prioritisation of outbreak control to appropriate locations. However, methods for fitting such models to national-level…

Pandemic(epidemic) modeling, aiming at disease spreading analysis, has always been a popular research topic especially following the outbreak of COVID-19 in 2019. Some representative models including SIR-based deep learning prediction…

Machine Learning · Computer Science 2022-12-07 Danfeng Guo , Zijie Huang , Junheng Hao , Yizhou Sun , Wei Wang , Demetri Terzopoulos

The constrained outbreak of COVID-19 in Mainland China has recently been regarded as a successful example of fighting this highly contagious virus. Both the short period (in about three months) of transmission and the sub-exponential…

Physics and Society · Physics 2022-03-22 Jizhou Huang , Haifeng Wang , Miao Fan , An Zhuo , Yibo Sun , Ying Li

The paper introduces an approach to identify a set of spatially constrained homogeneous areas maximally homogeneous in terms of epidemic trends. The proposed hierarchical algorithm is based on the Dynamic TimeWarping distances between…

Applications · Statistics 2020-06-08 Roberto Benedetti , Federica Piersimoni , Giacomo Pignataro , Francesco Vidoli