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Although previous infection and vaccination provide protection against SARS-CoV-2 infection, both reinfection and breakthrough infection are possible events whose occurrence would increase with time after first exposure to the antigen and…

Populations and Evolution · Quantitative Biology 2022-06-07 Ariel Félix Gualtieri , Carolina de la Cal , Augusto Francisco Toma , Pedro Hecht

The SIR model is the cornerstone model for mathematical epidemiology, explaining key epidemic features such as the second-order transition between disease-free and epidemic states, the initial exponential growth of outbreaks or the…

Populations and Evolution · Quantitative Biology 2026-03-20 Santiago Lamata-Otín , Alex Arenas , Jesús Gómez-Gardeñes , David Soriano-Paños

We extend the classical SIR model of infectious disease spread to account for time dependence in the parameters, which also include diffusivities. The temporal dependence accounts for the changing characteristics of testing, quarantine and…

Populations and Evolution · Quantitative Biology 2020-07-03 Zhenlin Wang , Xiaoxuan Zhang , Gregory Teichert , Mariana Carrasco-Teja , Krishna Garikipati

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

Medical Physics · Physics 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

We study viral transmission in crowds via the short-ranged airborne pathway using a purely model-based approach. Our goal is two-pronged. Firstly, we illustrate with a concrete and pedagogical case study how to estimate the risks of new…

Multiagent Systems · Computer Science 2023-12-05 Alexandre Nicolas , Simon Mendez

The spread of viral pathogens is inherently a spatial process. While the temporal aspects of viral spread at the epidemiological level have been increasingly well characterized, the spatial aspects of viral spread are still understudied due…

General Economics · Economics 2022-12-14 Yigit Aydede , Jan Ditzen

Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

Methodology · Statistics 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

In this work, we aim to study that the dynamics behavior for cumulative number of SARS-CoV-2 pandemic can provide information on the overall behavior of the spread over daily time.The cumulative data can be synthesized in an empirical form…

Populations and Evolution · Quantitative Biology 2020-11-16 Hamieh Mohamad , Doumit Mary , Toufaily Joumana , Hamieh Tayssir

The advent of the coronavirus pandemic has sparked the interest in predictive models capable of forecasting virus-spreading, especially for boosting and supporting decision-making processes. In this paper, we will outline the main Deep…

We propose a generative model and an inference scheme for epidemic processes on dynamic, adaptive contact networks. Network evolution is formulated as a link-Markovian process, which is then coupled to an individual-level stochastic SIR…

Methodology · Statistics 2020-04-07 Fan Bu , Allison E. Aiello , Jason Xu , Alexander Volfovsky

With the rapid spread of the novel coronavirus (COVID-19) across the globe and its continuous mutation, it is of pivotal importance to design a system to identify different known (and unknown) variants of SARS-CoV-2. Identifying particular…

Quantitative Methods · Quantitative Biology 2021-10-13 Sarwan Ali , Bikram Sahoo , Naimat Ullah , Alexander Zelikovskiy , Murray Patterson , Imdadullah Khan

Computational multi-scale pandemic modelling remains a major and timely challenge. Here we identify specific requirements for a new class of models simulating pandemics across three scales: (1) pathogen evolution, often punctuated by the…

Populations and Evolution · Quantitative Biology 2025-08-04 Quang Dang Nguyen , Sheryl L. Chang , Carl J. E. Suster , Rebecca J. Rockett , Vitali Sintchenko , Tania C. Sorrell , Mikhail Prokopenko

Seasonal variations in the incidence of infectious diseases are a well-established phenomenon, driven by factors such as climate changes, social behaviors, and ecological interactions that influence host susceptibility and transmission…

Populations and Evolution · Quantitative Biology 2024-10-23 Mahmudul Bari Hridoy

This technical report describes a dynamic causal model of the spread of coronavirus through a population. The model is based upon ensemble or population dynamics that generate outcomes, like new cases and deaths over time. The purpose of…

Viral kinetics have been extensively studied in the past through the use of spatially well-mixed ordinary differential equations describing the time evolution of the diseased state. However, emerging spatial structures such as localized…

Cell Behavior · Quantitative Biology 2024-04-02 Catherine Beauchemin

To support the ongoing management of viral respiratory diseases, many countries are moving towards an integrated model of surveillance for SARS-CoV-2, influenza, and other respiratory pathogens. While many surveillance approaches catalysed…

Viruses constantly undergo mutations with genomic changes. The propagation of variants of viruses is an interesting problem. We perform numerical simulations of the microscopic epidemic model based on network theory for the spread of…

Populations and Evolution · Quantitative Biology 2025-01-14 Yutaka Okabe , Akira Shudo

Serology testing can identify past infection by quantifying the immune response of an infected individual providing important public health guidance. Individual immune responses are time-dependent, which is reflected in antibody…

Quantitative Methods · Quantitative Biology 2022-08-04 Prajakta Bedekar , Anthony J. Kearsley , Paul N. Patrone

We develop a stochastic framework for viral population dynamics at the cellular level that explicitly incorporates the replication cycle with random stage durations. The model is formulated as a structured birth-death process coupled with a…

Populations and Evolution · Quantitative Biology 2026-05-13 Seong Jun Park

Accurate and representative data is vital for precisely reporting the impact of influenza in healthcare systems. Northern hemisphere winter 2022/23 experienced the most substantial influenza wave since the COVID-19 pandemic began in 2020.…

Populations and Evolution · Quantitative Biology 2023-10-26 Jonathon Mellor , Rachel Christie , James Guilder , Robert S Paton , Suzanne Elgohari , Conall Watson , Sarah Deeny , Thomas Ward