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This paper extends the canonical model of epidemiology, SIRD model, to allow for time varying parameters for real-time measurement of the stance of the COVID-19 pandemic. Time variation in model parameters is captured using the generalized…

Populations and Evolution · Quantitative Biology 2021-02-11 Cem Cakmakli , Yasin Simsek

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…

We study the dynamic evolution of COVID-19 cased by the Omicron variant via a fractional susceptible-exposedinfected-removed (SEIR) model. Preliminary data suggest that the symptoms of Omicron infection are not prominent and the…

Numerical Analysis · Mathematics 2022-07-21 Min Cai , George Em Karniadakis , Changpin Li

In this manuscript, we develop a mobility-based Susceptible-Infectious-Recovered (SIR) model to elucidate the dynamics of pandemic propagation. While traditional SIR models within the field of epidemiology aptly characterize transitions…

Dynamical Systems · Mathematics 2025-01-16 Ciana Applegate , Jiaxu Li , Dan Han

The SIR model is a classical model characterizing the spreading of infectious diseases. This model describes the time-dependent quantity changes among Susceptible, Infectious, and Recovered groups. By introducing space-depend effects such…

Quantitative Methods · Quantitative Biology 2024-09-18 Md Abu Talha , Yongjia Xu , Shan Zhao , Weihua Geng

Highly-interconnected societies difficult to model the spread of infectious diseases such as COVID-19. Single-region SIR models fail to account for incoming forces of infection and expanding them to a large number of interacting regions…

Machine Learning · Computer Science 2023-11-06 Adrian Rojas-Campos , Lukas Stelz , Pascal Nieters

A variety of approaches using compartmental models have been used to study the COVID-19 pandemic and the usage of machine learning methods with these models has had particularly notable success. We present here an approach toward analyzing…

Populations and Evolution · Quantitative Biology 2022-08-19 Haoran Hu , Connor M Kennedy , Panayotis G. Kevrekidis , Hongkun Zhang

Large-scale crises, including wars and pandemics, have repeatedly shaped human history, and their simultaneous occurrence presents profound challenges to societies. Understanding the dynamics of epidemic spread during warfare is essential…

Quantitative Methods · Quantitative Biology 2025-07-23 Adi Shuchami , Teddy Lazebnik

In the last decade, humanity has faced many different pandemics such as SARS, H1N1, and presently novel coronavirus (COVID-19). On one side, scientists are focusing on vaccinations, and on the other side, there is a need to propose models…

Social and Information Networks · Computer Science 2020-04-29 Rahul Goel , Rajesh Sharma

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…

COVID-19 pandemic has an unprecedented impact all over the world since early 2020. During this public health crisis, reliable forecasting of the disease becomes critical for resource allocation and administrative planning. The results from…

Machine Learning · Computer Science 2021-04-07 Xiaoyong Jin , Yu-Xiang Wang , Xifeng Yan

The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although…

Populations and Evolution · Quantitative Biology 2022-11-16 Ryan Wilkinson , Marcus Roper

Accurate forecasts of the number of newly infected people during an epidemic are critical for making effective timely decisions. This paper addresses this challenge using the SIMLR model, which incorporates machine learning (ML) into the…

Machine Learning · Computer Science 2021-06-04 Roberto Vega , Leonardo Flores , Russell Greiner

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

Machine Learning · Statistics 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

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…

Populations and Evolution · Quantitative Biology 2021-02-23 Yuxuan Zhang , Chen Gong , Dawei Li , Zhi-Wei Wang , Shengda D Pu , Alex W Robertson , Hong Yu , John Parrington

A simple analytical model for modeling the evolution of the 2020 COVID-19 pandemic is presented. The model is based on the numerical solution of the widely used Susceptible-Infectious-Removed (SIR) populations model for describing…

Populations and Evolution · Quantitative Biology 2020-08-26 Efthimios Kaxiras , George Neofotistos , Eleni Angelaki

Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a recent model by Vaziry, Kolokolnikov, and Kevrekidis [Royal…

Populations and Evolution · Quantitative Biology 2024-10-01 Maryam Ahmadpoortorkamani , Alexei Cheviakov

We examine the age-structured SIR model, a variant of the classical Susceptible-Infected-Recovered (SIR) model of epidemic propagation, in the context of COVID-19. In doing so, we provide a theoretical basis for the model, perform an…

Optimization and Control · Mathematics 2022-03-11 Rohit Parasnis , Ryosuke Kato , Amol Sakhale , Massimo Franceschetti , Behrouz Touri

Non-pharmaceutical interventions(NPIs) play an important role in the early stage control of COVID-19 pandemic. Vaccination is considered to be the inevitable course to stop the spread of SARS-CoV-2. Based on the mechanism, a SVEIR COVID-19…

Populations and Evolution · Quantitative Biology 2021-07-08 Bin-Guo Wang , Shunxiang Huang , Yongping Xiong , Ming-Zhen Xin , Jing LI , Jiangqian Zhang , Zhihui Ma

We propose a Bayesian Heterogeneity Learning approach for Susceptible-Infected-Removal-Susceptible (SIRS) model that allows underlying clustering patterns for transmission rate, recovery rate, and loss of immunity rate for the latest…

Applications · Statistics 2020-07-17 Guanyu Hu , Junxian Geng
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