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Since the first outbreak of the COVID-19 epidemic at the end of 2019, data has been made available on the number of infections, deaths and recoveries for all countries of the World, and that data can be used for statistical analysis. The…

Populations and Evolution · Quantitative Biology 2020-04-01 Dávid Tátrai , Zoltán Várallyay

In this work, a proposal for the estimation of the populations using logistic curve fitting is presented. This type of curve is used to study population growth, in this case population of people infected with the Covid-19 virus; and it can…

Populations and Evolution · Quantitative Biology 2020-04-06 Mario Villalobos-Arias

We model further development of the COVID-19 epidemic in the UK given the current data and assuming different scenarios of handling the epidemic. In this research, we further extend the stochastic model suggested in \cite{us} and…

Populations and Evolution · Quantitative Biology 2020-04-10 Anatoly Zhigljavsky , Roger Whitaker , Ivan Fesenko , Kobi Kremnizer , Jack Noonan

According to the current perception, symptomatic, presymptomatic, and asymptomatic infectious persons can infect the healthy population susceptible to the SARS-Cov-2. More importantly, various reports indicate that the number of…

Populations and Evolution · Quantitative Biology 2020-11-24 Saptarshi Chatterjee , Apurba Sarkar , Mintu Karmakar , Swarnajit Chatterjee , Raja Paul

In this paper, we study the effectiveness of the modelling approach on the pandemic due to the spreading of the novel COVID-19 disease and develop a susceptible-infected-removed (SIR) model that provides a theoretical framework to…

Populations and Evolution · Quantitative Biology 2020-08-26 Ian Cooper , Argha Mondal , Chris G. Antonopoulos

The current survey paper concerns stochastic mathematical models for the spread of infectious diseases. It starts with the simplest setting of a homogeneous population in which a transmittable disease spreads during a short outbreak.…

Applications · Statistics 2018-01-30 Tom Britton

The outbreak of the new virus COVID-19, beyond the human health risks and loss, has caused also very serious problems in a wide range of human activities, including the basic and applied scientific research, mainly that concern world wide…

Physics and Society · Physics 2020-04-16 S. Maltezos

The ordinary contact process is used to model the spread of a disease in a population. In this model, each infected individual waits an exponentially distributed time with parameter 1 before becoming healthy. In this paper, we introduce and…

Probability · Mathematics 2011-11-10 Erik I. Broman

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

Analytical descriptions of patterns concerning spread and fatality during an epidemic, covering natural as well as restriction periods, are important for reducing damage. We employ a scaling model to investigate this aspect in the real data…

Physics and Society · Physics 2023-10-25 Subir K. Das

The paper presents an algorithm for syndromic surveillance of an epidemic outbreak formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a generalized compartmental epidemiological model…

Quantitative Methods · Quantitative Biology 2011-10-24 Alex Skvortsov , Branko Ristic

Accurate numbers are needed to understand and predict viral dynamics. Curation of high-quality literature values for the infectious period duration or household secondary attack rate, for example, is especially pressing currently because…

Other Quantitative Biology · Quantitative Biology 2020-07-10 Yinon M. Bar-On , Ron Sender , Avi I. Flamholz , Rob Phillips , Ron Milo

The acute phase of the Covid-19 pandemic has made apparent the need for decision support based upon accurate epidemic modeling. This process is substantially hampered by under-reporting of cases and related data incompleteness issues. In…

Applications · Statistics 2026-03-10 Anastasios Apsemidis , Nikolaos Demiris

In India the COVID-19 infected population has not yet been accurately established. As always in the early stages of any epidemic, the need to test serious cases first has meant that the population with asymptomatic or mild sub-clinical…

Populations and Evolution · Quantitative Biology 2020-04-09 Sourendu Gupta , R. Shankar

In this paper, we provide insights on how much testing and social distancing is required to control COVID-19. To this end, we develop a compartmental model that accounts for key aspects of the disease: 1) incubation time, 2) age-dependent…

Optimization and Control · Mathematics 2020-11-04 Sara Grundel , Stefan Heyder , Thomas Hotz , Tobias K. S. Ritschel , Philipp Sauerteig , Karl Worthmann

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

Optimization and Control · Mathematics 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have emerged as powerful tools to produce valuable predictions of the evolution of the pandemic, helping public health authorities decide which intervention…

Dynamical Systems · Mathematics 2021-11-18 Lorenzo Zino , Ming Cao

This work constructs, analyzes, and simulates a new compartmental SEIR-type model for the dynamics and potential control of the current COVID-19 pandemic. The novelty in this work is two-fold. First, the population is divided according to…

Populations and Evolution · Quantitative Biology 2021-05-14 Aycil Cesmelioglu , Kenneth L. Kuttler , Meir Shillor , Anna M. Spagnuolo

The ongoing COVID-19 pandemic has progressed with varying degrees of intensity in individual countries, suggesting it is important to analyse factors that vary between them. We study measures of `population-weighted density', which capture…

After the breakout of the disease caused by the new virus COVID-19, the mitigation stage has been reached in most of the countries in the world. During this stage, a more accurate data analysis of the daily reported cases and other…

Populations and Evolution · Quantitative Biology 2020-07-01 S. Maltezos