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We propose a detailed discrete-time model of COVID-19 epidemics coming in two flavours, mean-field and probabilistic. The main contribution lies in several extensions of the basic model that capture i) user mobility - distinguishing…

Applications · Statistics 2020-09-14 M. Akian , L. Ganassali , S. Gaubert , L. Massoulié

The initial surge of the COVID-19 pandemic hit Guatemala on March 2020. On a country scale, the epidemic has undergone a fairly well-known and distinguishable initial phase, reaching its peak on mid July 2020. However, the detailed picture…

Populations and Evolution · Quantitative Biology 2022-09-15 Juan Adolfo Ponciano , Juan Diego Chang , Mariela Abdalah , Kevin Facey , José Miguel Ponciano

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…

In this paper, we model the trajectory of the cumulative confirmed cases and deaths of COVID-19 (in log scale) via a piecewise linear trend model. The model naturally captures the phase transitions of the epidemic growth rate via…

Econometrics · Economics 2020-07-10 Feiyu Jiang , Zifeng Zhao , Xiaofeng Shao

COVID-19 pandemic has brought to the fore epidemiological models which, though describing a wealth of behaviors, have previously received little attention in signal processing literature. In this work, a generalized time-varying…

Methodology · Statistics 2025-08-13 Barbara Pascal , Samuel Vaiter

Diffusion comes anytime and everywhere. If there is a gradient or a potential difference of a quantity a diffusion process happens and this ends if an equilibrium is reached only. The concentration of a species maybe such quantity, or the…

Physics and Society · Physics 2021-02-02 Guenter Bärwolff

Intent of this research is to explore how mathematical models, specifically Susceptible-Infected-Removed (SIR) model, can be utilized to forecast peak outbreak timeline of COVID-19 epidemic amongst a population of interest starting from the…

Populations and Evolution · Quantitative Biology 2020-09-14 Amit Tewari

The rapid transmission of the highly contagious novel coronavirus has been represented through several data-guided approaches across targeted geographies, in an attempt to understand when the pandemic will be under control and imposed…

Populations and Evolution · Quantitative Biology 2020-05-05 Joydeep Munshi , Indranil Roy , Ganesh Balasubramanian

The investment of time and resources for better strategies and methodologies to tackle a potential pandemic is key to deal with potential outbreaks of new variants or other viruses in the future. In this work, we recreated the scene of a…

Machine Learning · Computer Science 2021-04-22 Andrés L. Suárez-Cetrulo , Ankit Kumar , Luis Miralles-Pechuán

We identify the effectiveness of social distancing policies in reducing the transmission of the COVID-19 spread. We build a model that measures the relative frequency and geographic distribution of the virus growth rate and provides…

Econometrics · Economics 2024-05-21 Difang Huang , Ying Liang , Boyao Wu , Yanyi Ye

In this paper, we explore whether the infection-rate of a disease can serve as a robust monitoring variable in epidemiological surveillance algorithms. The infection-rate is dependent on population mixing patterns that do not vary…

Applications · Statistics 2024-07-17 Wyatt Bridgman , Cosmin Safta , Jaideep Ray

A model of interacting agents, following plausible behavioral rules into a world where the Covid-19 epidemic is affecting the actions of everyone. The model works with (i) infected agents categorized as symptomatic or asymptomatic and (ii)…

Multiagent Systems · Computer Science 2021-08-23 Gianpiero Pescarmona , Pietro Terna , Alberto Acquadro , Paolo Pescarmona , Giuseppe Russo , Emilio Sulis , Stefano Terna

The declaration of COVID-19 as a pandemic has largely amplified the spread of related information on social media, such as Twitter, Facebook, and WeChat.Unlike the previous studies which focused on how to detect the misinformation or fake…

Physics and Society · Physics 2021-07-09 Xiu-Xiu Zhan , Kaiyue Zhang , Lun Ge , Junming Huang , Zinan Zhang , Lu Wei , Gui-Quan Sun , Chuang Liu , Zi-Ke Zhang

We study the reported data from the COVID-19 pandemic outbreak in January - May 2020 in 119 countries. We observe that the time series of active cases in individual countries (the difference of the total number of confirmed infections and…

Populations and Evolution · Quantitative Biology 2020-05-15 Katarina Bodova , Richard Kollar

Hawkes stochastic point process models have emerged as valuable statistical tools for analyzing viral contagion. The spatiotemporal Hawkes process characterizes the speeds at which viruses spread within human populations. Unfortunately,…

Computation · Statistics 2024-07-17 Seyoon Ko , Marc A. Suchard , Andrew J. Holbrook

The COVID-19 pandemic led to widespread interest in epidemiological models. In this context the role of vaccination in influencing the spreading of the disease is of particular interest. There has also been a lot of debate on the role of…

Dynamical Systems · Mathematics 2023-07-25 Aytül Gökçe , Burcu Gürbüz , Alan D. Rendall

Background: Human behavior shapes infectious disease dynamics, yet its integration into transmission models remains fragmented. Recent epidemics, particularly COVID-19, highlight the need for models capturing adaptation to perceived risk,…

Populations and Evolution · Quantitative Biology 2026-02-19 Youngji Jo , Sileshi Sintayehu Sharbayta , Bruno Buonomo

We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability…

Populations and Evolution · Quantitative Biology 2020-05-05 Faical Ndairou , Ivan Area , Juan J. Nieto , Delfim F. M. Torres

We propose an SEIARD mathematical model to investigate the current outbreak of coronavirus disease (COVID-19) in Mexico. We conduct a detailed analysis of this model and demonstrate its application using publicly reported data. We calculate…

Populations and Evolution · Quantitative Biology 2021-02-23 Ugo Avila-Ponce de León , Ángel G. C. Pérez , Eric Avila-Vales

While COVID-19 has resulted in a significant increase in global mortality rates, the impact of the pandemic on mortality from other causes remains uncertain. To gain insight into the broader effects of COVID-19 on various causes of death,…

Applications · Statistics 2024-09-05 Wei Zhang , Antonietta Mira , Ernst C. Wit
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