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In the political decision process and control of COVID-19 (and other epidemic diseases), mathematical models play an important role. It is crucial to understand and quantify the uncertainty in models and their predictions in order to take…

应用统计 · 统计学 2021-09-17 Bjørn Jensen , Allan P. Engsig-Karup , Kim Knudsen

The Covid-19 pandemic has spread across the world since the beginning of 2020. Many regions have experienced its effects. The state of South Carolina in the USA has seen cases since early March 2020 and a primary peak in early April 2020. A…

应用统计 · 统计学 2021-06-09 Andrew B. Lawson , Joanne Kim

The estimation of unknown parameters in simulations, also known as calibration, is crucial for practical management of epidemics and prediction of pandemic risk. A simple yet widely used approach is to estimate the parameters by minimizing…

统计方法学 · 统计学 2023-06-26 Chih-Li Sung , Ying Hung

The SIQR model is reformulated where compartments for infected and quarantined are redefined so as to be appropriate to COVID-19, and exact properties of the model are presented. It is shown that the maximum number of infected at large…

物理与社会 · 物理学 2020-12-30 Takashi Odagaki

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating the basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less…

种群与进化 · 定量生物学 2022-11-23 Alexander F. Siegenfeld , Pratyush K. Kollepara , Yaneer Bar-Yam

We analytically study the SEIR (Susceptible Exposed Infectious Removed) epidemic model. The aim is to provide simple analytical expressions for the peak and asymptotic values and their characteristic times of the populations affected by the…

种群与进化 · 定量生物学 2020-12-29 Nicola Piovella

After the introduction of drastic containment measures aimed at stopping the epidemic contagion from SARS-CoV2, many governments have adopted a strategy based on a periodic relaxation of such measures in the face of a severe economic crisis…

种群与进化 · 定量生物学 2021-06-10 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

In regard to infectious diseases socioeconomic determinants are strongly associated with differential exposure and susceptibility however they are seldom accounted for by standard compartmental infectious disease models. These associations…

应用统计 · 统计学 2022-11-28 Alison C Hale , Jonathan M Read , Christopher P Jewell

Some of the key questions of interest during the COVID-19 pandemic (and all outbreaks) include: where did the disease start, how is it spreading, who is at risk, and how to control the spread. There are a large number of complex factors…

Understanding dynamics of an outbreak like that of COVID-19 is important in designing effective control measures. This study aims to develop an agent based model that compares changes in infection progression by manipulating different…

种群与进化 · 定量生物学 2021-06-24 Anik Burman , Sayak Chatterjee , Pramit Ghosh , Indranil Mukhokadhyay

We present a compartmental mathematical model with demography for the spread of the COVID-19 disease, considering also asymptomatic infectious individuals. We compute the basic reproductive ratio of the model and study the local and global…

种群与进化 · 定量生物学 2020-11-17 Vasiliki Bitsouni , Nikolaos Gialelis , Ioannis G. Stratis

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…

物理教育 · 物理学 2020-07-24 Paulo H. Acioli

Over a year after the start of the COVID-19 epidemics, we are still facing the virus and it is hard to correctly predict its future spread over weeks to come, as well as the impacts of potential political interventions. Current epidemic…

多智能体系统 · 计算机科学 2021-12-03 Benoit Doussin , Carole Adam , Didier Georges

The novel coronavirus SARS-CoV-2 and resulting COVID-19 disease have had an unprecedented spread and continue to cause an increasing number of fatalities worldwide. While vaccines are still under development, social distancing, extensive…

种群与进化 · 定量生物学 2020-07-02 Calvin Tsay , Fernando Lejarza , Mark A. Stadtherr , Michael Baldea

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…

种群与进化 · 定量生物学 2020-05-14 Gabriel Rainisch , Eduardo A. Undurraga , Gerardo Chowell

The ongoing COVID-19 pandemic highlights the essential role of mathematical models in understanding the spread of the virus along with a quantifiable and science-based prediction of the impact of various mitigation measures. Numerous types…

种群与进化 · 定量生物学 2021-08-27 Prateek Kunwar , Oleksandr Markovichenko , Monique Chyba , Yuriy Mileyko , Alice Koniges , Thomas Lee

Modeling epidemic dynamics plays an important role in studying how diseases spread, predicting their future course, and designing strategies to control them. In this letter, we introduce a model of SIR (susceptible-infected-removed) type…

种群与进化 · 定量生物学 2013-12-17 Li Chen , Fakhteh Ghanbarnejad , Weiran Cai , Peter Grassberger

We consider state and parameter estimation for compartmental models having both time-varying and time-invariant parameters. Though the described Bayesian computational framework is general, we look at a specific application to the…

计算工程、金融与科学 · 计算机科学 2023-11-07 Brandon Robinson , Philippe Bisaillon , Jodi D. Edwards , Tetyana Kendzerska , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

The current outbreak is known as Coronavirus Disease or COVID-19 caused by the virus SAR-COV-2 which continues to wreak havoc across the globe. The World Health Organization (WHO) has declared the outbreak a Public Health Emergency of…

种群与进化 · 定量生物学 2020-05-12 Muhammad Waqas , Muhammad Farooq , Rashid Ahmad , Ashfaq Ahmad

When pandemics like COVID-19 spread around the world, the rapidly evolving situation compels officials and executives to take prompt decisions and adapt policies depending on the current state of the disease. In this context, it is crucial…