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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

In this paper we explore a time-depended SEIR model, in which the dynamics of the infection in four groups from a selected target group (population), divided according to the infection, are modeled by a system of nonlinear ordinary…

Populations and Evolution · Quantitative Biology 2021-03-31 Svetozar Margenov , Nedyu Popivanov , Iva Ugrinova , Stanislav Harizanov , Tsvetan Hristov

In this paper, we propose a machine learning technics and SIR models (deterministic and stochastic cases) with numerical approximations to predict the number of cases infected with the COVID-19, for both in few days and the following three…

Populations and Evolution · Quantitative Biology 2020-04-29 Babacar Mbaye Ndiaye , Lena Tendeng , Diaraf Seck

In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

Physics and Society · Physics 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco

We describe the population-based SEIR (susceptible, exposed, infected, removed) model developed by the Irish Epidemiological Modelling Advisory Group (IEMAG), which advises the Irish government on COVID-19 responses. The model assumes a…

This work is a trial in which we propose SIR model and machine learning tools to analyze the coronavirus pandemic in the real world. Based on the public data from \cite{datahub}, we estimate main key pandemic parameters and make predictions…

Populations and Evolution · Quantitative Biology 2020-04-06 Babacar Mbaye Ndiaye , Lena Tendeng , Diaraf Seck

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

In an earlier paper we proposed a recursive model for epidemics; in the present paper we generalize this model to include the asymptomatic or unrecorded symptomatic people, which we call {\em dark people} (dark sector). We call this the…

Populations and Evolution · Quantitative Biology 2021-03-01 Matthias Kreck , Erhard Scholz

The spread of COVID-19 during the initial phase of the first half of 2020 was curtailed to a larger or lesser extent through measures of social distancing imposed by most countries. In this work, we link directly, through machine learning…

Populations and Evolution · Quantitative Biology 2020-08-20 G. D. Barmparis , G. P. Tsironis

The role of epidemiological models is crucial for informing public health officials during a public health emergency, such as the COVID-19 pandemic. However, traditional epidemiological models fail to capture the time-varying effects of…

Methodology · Statistics 2022-06-17 Adam Spannaus , Theodore Papamarkou , Samantha Erwin , J. Blair Christian

There is increasing evidence that one of the most difficult problems in trying to control the ongoing COVID-19 epidemic is the presence of a large cohort of asymptomatic infectives. We develop a SIR-type model taking into account the…

Populations and Evolution · Quantitative Biology 2020-06-29 Giuseppe Gaeta

The COVID-19 disease has forced countries to make a considerable collaborative effort between scientists and governments to provide indicators to suitable follow-up the pandemic's consequences. Mathematical modeling plays a crucial role in…

Populations and Evolution · Quantitative Biology 2020-12-29 Patricio Cumsille , Oscar Rojas-Díaz , Pablo Moisset de Espanés

We propose an epidemiological model using an adaptive dynamic three compartment (with four states) SIR(D) model. Our approach is similar to non-parametric curve fitting in spirit and automatically adapts to key external factors, such as…

Applications · Statistics 2020-09-14 Madhuchhanda Bhattacharjee , Arup Bose

We provide a probabilistic SIRD model for the COVID-19 pandemic in Italy, where we allow the infection, recovery and death rates to be random. In particular, the underlying random factor is driven by a fractional Brownian motion. Our model…

Populations and Evolution · Quantitative Biology 2020-08-04 Elisa Alòs , Maria Elvira Mancino , Raúl Merino , Simona Sanfelici

We have proposed a new form of growth rate for population ecology. Generally, the growth rate is dependent on the size of the population at that particular epoch. We have introduced an alternative time-dependent form of growth rate. This…

Populations and Evolution · Quantitative Biology 2020-04-28 Deeptak Biswas , Sulagna Roy

The recent COVID-19 pandemic has promoted vigorous scientific activity in an effort to understand, advice and control the pandemic. Data is now freely available at a staggering rate worldwide. Unfortunately, this unprecedented level of…

Applications · Statistics 2024-01-31 Yuansan Liu , Saransh Srivastava , Zuo Huang , Felisa J. Vázquez-Abad

The current COVID-19 pandemic and subsequent lockdowns have highlighted the close and delicate relationship between a country's public health and economic health. Macroeconomic models that use preexisting epidemic models to calculate the…

Physics and Society · Physics 2020-07-01 Erhan Bayraktar , Asaf Cohen , April Nellis

Epidemiological models describe the spread of an infectious disease within a population. They capture microscopic details on how the disease is passed on among individuals in various different ways, while making predictions about the state…

Populations and Evolution · Quantitative Biology 2024-02-27 Stefan Hohenegger , Francesco Sannino

Based on the SIRD-model a new model including time-delay is proposed for a description of the outbreak of the novel coronavirus Sars-CoV-2 pandemic. All data were analysed by representing all quantities as a function of the susceptible…

Populations and Evolution · Quantitative Biology 2024-08-16 Olivier Merlo

Here we propose and implement a generalized mathematical model to find the time evolution of population in infectious diseases and apply the model to study the recent COVID-19 pandemic. Our model at the core is a non-local generalization of…

Populations and Evolution · Quantitative Biology 2020-05-01 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi