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In this study, we present a new epidemiological model, with contamination from confirmed and unreported. We also compute equilibria and study their stability without intervention strategies. Optimal control theory has proven to be a…

Populations and Evolution · Quantitative Biology 2020-08-14 Fulgence Mansal , Mouhamadou A. M. T. Baldé , Alpha O. Bah

Mathematical models are widely recognized as an important tool for analyzing and understanding the dynamics of infectious disease outbreaks, predict their future trends, and evaluate public health intervention measures for disease control…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Yukun Tan , Durward Cator , Martial Ndeffo-Mbah , Ulisses Braga-Neto

We introduce an extended SEIR infectious disease model with data assimilation for the study of the spread of COVID-19. In this framework, undetected asymptomatic and pre-symptomatic cases are taken into account, and the impact of their…

Numerical Analysis · Mathematics 2021-11-01 Qiwen Sun , Serge Richard , Takemasa Miyoshi

The SARS-CoV-2 virus and COVID-19 disease have posed unprecedented and overwhelming demand, challenges and opportunities to domain, model and data driven modeling. This paper provides a comprehensive review of the challenges, tasks,…

Computers and Society · Computer Science 2021-08-05 Longbing Cao , Qing Liu

Nowcasting and forecasting of epidemic spreading rely on incidence series of reported cases to derive the fundamental epidemiological parameters for a given pathogen. Two relevant drawbacks for predictions are the unknown fractions of…

Populations and Evolution · Quantitative Biology 2022-08-31 Guilherme S. Costa , Wesley Cota , Silvio C. Ferreira

The appearance of the coronavirus (COVID-19) in late 2019 has dominated the news in the last few months as it developed into a pandemic. In many mathematics and physics classrooms, instructors are using the time series of the number of…

Physics Education · Physics 2020-07-24 Paulo H. Acioli

As of December 2020, the COVID-19 pandemic has infected over 75 million people, making it the deadliest pandemic in modern history. This study develops a novel compartmental epidemiological model specific to the SARS-CoV-2 virus and…

Populations and Evolution · Quantitative Biology 2021-11-19 Caden Lin

A well-known characteristic of pandemics such as COVID-19 is the high level of transmission heterogeneity in the infection spread: not all infected individuals spread the disease at the same rate and some individuals (superspreaders) are…

Populations and Evolution · Quantitative Biology 2021-05-26 Yaron Oz , Ittai Rubinstein , Muli Safra

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

Methodology · Statistics 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

In this paper we introduce a space-dependent multiscale model to describe the spatial spread of an infectious disease under uncertain data with particular interest in simulating the onset of the COVID-19 epidemic in Italy. While virus…

Populations and Evolution · Quantitative Biology 2021-08-31 Giulia Bertaglia , Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

There is a continuing debate on relative benefits of various mitigation and suppression strategies aimed to control the spread of COVID-19. Here we report the results of agent-based modelling using a fine-grained computational simulation of…

Populations and Evolution · Quantitative Biology 2020-11-12 Sheryl L. Chang , Nathan Harding , Cameron Zachreson , Oliver M. Cliff , Mikhail Prokopenko

We measure the effect of different public health regulations to the spread of COVID-19, based on a SEIRA model -- a SEIR model including asymptomatic transmissions. The cumulative confirmed cases and death show nonlinear positive…

Populations and Evolution · Quantitative Biology 2020-04-15 Weijie Pang

Coronavirus COVID-19 spreads through the population mostly based on social contact. To gauge the potential for widespread contagion, to cope with associated uncertainty and to inform its mitigation, more accurate and robust modelling is…

A fractional compartmental mathematical model for the spread of the COVID-19 disease is proposed. Special focus has been done on the transmissibility of super-spreaders individuals. Numerical simulations are shown for data of Galicia,…

Populations and Evolution · Quantitative Biology 2021-01-15 Faical Ndairou , Ivan Area , Juan J. Nieto , Cristiana J. Silva , Delfim F. M. Torres

COVID-19 pandemic has brought the whole world to a stand-still over the last few months. In particular the pace at which pandemic has spread has taken everybody off-guard. The Governments across the world have responded by imposing…

Machine Learning · Computer Science 2020-08-19 Shreekanth M. Prabhu , Natarajan Subramaniam

The importance of spatial networks in the spread of an epidemic is an essential aspect in modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model must take into account the large uncertainty in the…

Populations and Evolution · Quantitative Biology 2022-01-17 Giulia Bertaglia , Lorenzo Pareschi

This paper is concerned with the design of intermittent non-pharmaceutical strategies to mitigate the spread of the COVID-19 epidemic exploiting network epidemiological models. Specifically, by studying a variational equation for the…

Populations and Evolution · Quantitative Biology 2022-04-14 Marco Coraggio , Shihao Xie , Francesco De Lellis , Giovanni Russo , Mario di Bernardo

In this paper we propose an epidemiological model for the spread of COVID-19. The dynamics of the spread is based on four fundamental categories of people in a population: Tested and infected, Non-Tested but infected, Tested but not…

Physics and Society · Physics 2020-06-12 Buddhananda Banerjee , Pradumn Kumar Pandey , Bibhas Adhikari

Compartmental models are valuable tools for investigating infectious diseases. Researchers building such models typically begin with a simple structure where compartments correspond to individuals with different epidemiological statuses,…

Populations and Evolution · Quantitative Biology 2023-07-21 Darren Flynn-Primrose , Steven C. Walker , Michael Li , Benjamin M. Bolker , David J. D. Earn , Jonathan Dushoff

In response to the ongoing pandemic and health emergency of COVID-19, several models have been used to understand the dynamics of virus spread. Some employ mathematical models like the compartmental SEIHRD approach and others rely on…

Computational Geometry · Computer Science 2024-09-10 Raunak Sarbajna , Karima Elgarroussi , Hoang D Vo , Jianyuan Ni , Christoph F. Eick
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