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The Covid-19 outbreak of 2020 has required many governments to develop mathematical-statistical models of the outbreak for policy and planning purposes. This work provides a tutorial on building a compartmental model using Susceptibles,…

Applications · Statistics 2020-05-27 Ryad Ghanam , Edward L. Boone , Abdel-Salam G. Abdel-Salam

The Bayesian analysis of infectious disease surveillance data from multiple locations typically involves building and fitting a spatio-temporal model of how the disease spreads in the structured population. Here we present new generally…

Methodology · Statistics 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

Within a short period of time, COVID-19 grew into a world-wide pandemic. Transmission by pre-symptomatic and asymptomatic viral carriers rendered intervention and containment of the disease extremely challenging. Based on reported infection…

Populations and Evolution · Quantitative Biology 2021-02-24 Liang Tian , Xuefei Li , Fei Qi , Qian-Yuan Tang , Viola Tang , Jiang Liu , Zhiyuan Li , Xingye Cheng , Xuanxuan Li , Yingchen Shi , Haiguang Liu , Lei-Han Tang

Emerging in December 2019, the COVID-19 pandemic caused widespread health, economic, and social disruptions. Rapid global transmission overwhelmed healthcare systems, resulting in high infection rates, hospitalisations, and fatalities. To…

Populations and Evolution · Quantitative Biology 2025-10-08 Zacharias Komodromos , Kleanthis Malialis , Panayiotis Kolios

Objectives. Public health officials need tools to assist with anticipating the healthcare resources required to confront the SARS-COV-2 pandemic. We built a modeling tool to aid practicing public health officials with estimating healthcare…

Populations and Evolution · Quantitative Biology 2020-05-14 Gabriel Rainisch , Eduardo A. Undurraga , Gerardo Chowell

Despite the widespread testing protocols for COVID-19, there are still significant challenges in early detection of the disease, which is crucial for preventing its spread and optimizing patient outcomes. Owing to the limited testing…

Machine Learning · Computer Science 2023-12-13 Moyosolu Akinloye

We present a timely and novel methodology that combines disease estimates from mechanistic models with digital traces, via interpretable machine-learning methodologies, to reliably forecast COVID-19 activity in Chinese provinces in…

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

Mathematical modeling of epidemic spreading has been widely adopted to estimate the threats of epidemic diseases (i.e., the COVID-19 pandemic) as well as to evaluate epidemic control interventions. The indoor place is considered to be a…

Physics and Society · Physics 2022-09-14 Yao Xiao , Mofeng Yang , Zheng Zhu , Hai Yang , Lei Zhang , Sepehr Ghader

We present an early version of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model based on partial differential equations coupled with a heterogeneous diffusion model. The model describes the spatio-temporal spread…

In December 2019, a novel virus called COVID-19 had caused an enormous number of causalities to date. The battle with the novel Coronavirus is baffling and horrifying after the Spanish Flu 2019. While the front-line doctors and medical…

Machine Learning · Computer Science 2023-03-30 MD Abdullah Al Nasim , Aditi Dhali , Faria Afrin , Noshin Tasnim Zaman , Nazmul Karimm , Md Mahim Anjum Haque

Accurate forecasts of COVID-19 is central to resource management and building strategies to deal with the epidemic. We propose a heterogeneous infection rate model with human mobility for epidemic modeling, a preliminary version of which we…

Populations and Evolution · Quantitative Biology 2020-05-06 Ajitesh Srivastava , Viktor K. Prasanna

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

With COVID-19 affecting every country globally and changing everyday life, the ability to forecast the spread of the disease is more important than any previous epidemic. The conventional methods of disease-spread modeling, compartmental…

Machine Learning · Statistics 2022-08-19 Benjamin Lucas , Behzad Vahedi , Morteza Karimzadeh

Recent pandemics have highlighted the critical role of infectious disease models in guiding public health decision-making, driving demand for realistic models that can provide timely answers under uncertainty. Compartmental models are…

Methodology · Statistics 2026-03-18 Xiahui Li , Fergus J. Chadwick , Ben Swallow

In December 2019, the first patients in Wuhan, China were diagnosed with a primary atypical pneumonia, which showed to be unknown and contagious. Since then, known as COVID-19 disease, the responsible viral pathogen, SARS-CoV-2, has spread…

Populations and Evolution · Quantitative Biology 2024-01-30 Philipp Heider

Due to the characteristics of COVID-19, the epidemic develops rapidly and overwhelms health service systems worldwide. Many patients suffer from systemic life-threatening problems and need to be carefully monitored in ICUs. Thus the…

Machine Learning · Computer Science 2020-07-20 Liantao Ma , Xinyu Ma , Junyi Gao , Chaohe Zhang , Zhihao Yu , Xianfeng Jiao , Wenjie Ruan , Yasha Wang , Wen Tang , Jiangtao Wang

The COVID-19 pandemic has magnified an already existing trend of people looking for healthcare solutions online. One class of solutions are symptom checkers, which have become very popular in the context of COVID-19. Traditional symptom…

Artificial Intelligence · Computer Science 2020-12-02 Anitha Kannan , Richard Chen , Vignesh Venkataraman , Geoffrey J. Tso , Xavier Amatriain

Motivated by the ongoing pandemic COVID-19, we propose a closed-loop framework that combines inference from testing data, learning the parameters of the dynamics and optimal resource allocation for controlling the spread of the…

Physics and Society · Physics 2021-04-27 Ashish R. Hota , Jaydeep Godbole , Philip E Paré

Mechanistic mathematical models of within-host viral dynamics are tools for understanding how a virus' biology and its interaction with the immune system shape the infectivity of a host. The biology of the process is encoded by the…

Applications · Statistics 2025-12-11 Dylan J. Morris , Lauren Kennedy , Andrew J. Black