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In this research, we study the propagation patterns of epidemic diseases such as the COVID-19 coronavirus, from a mathematical modeling perspective. The study is based on an extensions of the well-known susceptible-infected-recovered (SIR)…

Populations and Evolution · Quantitative Biology 2021-01-01 Reza Sameni

We study the SIR epidemiological model, with a variable contagion rate, applied to the evolution of COVID19 in Cuba. It is highlighted that an increase in the predictive character depends on understanding the dynamics for the temporal…

Populations and Evolution · Quantitative Biology 2020-04-24 Nana Cabo Bizet , Alejandro Cabo Montes de Oca

A physics-informed neural network (PINN) embedded with the susceptible-infected-removed (SIR) model is devised to understand the temporal evolution dynamics of infectious diseases. Firstly, the effectiveness of this approach is demonstrated…

Quantitative Methods · Quantitative Biology 2025-04-08 Shuai Han , Lukas Stelz , Horst Stoecker , Lingxiao Wang , Kai Zhou

SARS-COV-19 is the most prominent issue which many countries face today. The frequent changes in infections, recovered and deaths represents the dynamic nature of this pandemic. It is very crucial to predict the spreading rate of this virus…

Populations and Evolution · Quantitative Biology 2023-02-01 Sadhana Tiwari , Ritesh Chandra , Sonali Agarwal

The purpose of this work is to give a contribution to the understanding of the COVID-19 contagion in Italy. To this end, we developed a modified Susceptible-Infected-Recovered (SIR) model for the contagion, and we used official data of the…

Physics and Society · Physics 2020-04-01 Giuseppe C. Calafiore , Carlo Novara , Corrado Possieri

For the description of a pandemic mathematical models could be interesting. Both for physicians and politicians as a base for decisions to treat the disease. The responsible estimation of parameters is a main issue of mathematical pandemic…

Populations and Evolution · Quantitative Biology 2020-04-15 Günter Bärwolff

The rapid spread of the Coronavirus (COVID-19) confronts policy makers with the problem of measuring the effectiveness of containment strategies, balancing public health considerations with the economic costs of social distancing measures.…

Physics and Society · Physics 2021-04-02 Claudius Gros , Roser Valenti , Lukas Schneider , Kilian Valenti , Daniel Gros

A study of changes in the transmission of a disease, in particular, a new disease like COVID-19, requires very flexible models which can capture, among others, the effects of non-pharmacological and pharmacological measures, changes in…

In this paper, a generalized fractional-order SEIR model is proposed, denoted by SEIQRP model, which has a basic guiding significance for the prediction of the possible outbreak of infectious diseases like COVID-19 and other insect diseases…

Populations and Evolution · Quantitative Biology 2020-04-30 Conghui Xu , Yongguang Yu , QuanChen Yang , Zhenzhen Lu

COVID-19 is a pandemic disease that began to rapidly spread in the US with the first case detected on January 19, 2020, in Washington State. March 9, 2020, and then increased rapidly with total cases of 25,739 as of April 20, 2020. The…

Populations and Evolution · Quantitative Biology 2020-06-30 Shashank Reddy Vadyala , Sai Nethra Betgeri , Eric A. Sherer , Amod Amritphale

Within the context that Greece promises a success story in the fight against the disease, this paper proposes a novel method to study the evolution of the Greek COVID-19 infection-curve in relation to the anti-COVID-19 policies applied to…

Physics and Society · Physics 2021-01-28 Dimitrios Tsiotas , Lykourgos Magafas

Millions of people have been infected and lakhs of people have lost their lives due to the worldwide ongoing novel Coronavirus (COVID-19) pandemic. It is of utmost importance to identify the future infected cases and the virus spread rate…

Physics and Society · Physics 2021-05-04 Naresh Kumar , Seba Susan

As of November 2020, the number of COVID-19 cases is increasing rapidly in many countries. In Europe, the virus spread slowed considerably in the late spring due to strict lockdown, but a second wave of the pandemic grew throughout the…

Quantitative Methods · Quantitative Biology 2020-11-25 Kristoffer Rypdal , Filippo Maria Bianchi , Martin Rypdal

We present an empirical algorithm to forecast the evolution of the number of COVID-19 symptomatic patients in the early stages of the pandemic spread and after strict social distancing interventions. The algorithm is based on a low…

Populations and Evolution · Quantitative Biology 2020-11-20 Luis Alvarez

We present a new mathematical model to explicitly capture the effects that the three restriction measures: the lockdown date and duration, social distancing and masks, and, schools and border closing, have in controlling the spread of…

Populations and Evolution · Quantitative Biology 2020-08-25 Liam Dowling Jones , Malik Magdon-Ismail , Laura Mersini-Houghton , Steven Meshnick

We propose a deterministic SAIVRD model and a stochastic SARV model of the epidemic COVID-19 involving asymptomatic infections and vaccinations to conduct data forecasts using time-dependent parameters. The forecast by our deterministic…

Populations and Evolution · Quantitative Biology 2022-09-28 Bo-Sheng Chen , Zong-Ying Wu , Yen-Jia Chen , Jann-Long Chern

We present three data driven model-types for COVID-19 with a minimal number of parameters to provide insights into the spread of the disease that may be used for developing policy responses. The first is exponential growth, widely studied…

Populations and Evolution · Quantitative Biology 2022-05-25 Andrea L. Bertozzi , Elisa Franco , George Mohler , Martin B. Short , Daniel Sledge

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…

Background and Objective: The new type of coronavirus is also called COVID-19. It began to spread at the end of 2019 and has now spread across the world. Until October 2020, It has infected around 37 million people and claimed about 1…

Image and Video Processing · Electrical Eng. & Systems 2021-05-21 Bo Cheng , Ruhui Xue , Hang Yang , Laili Zhu , Wei Xiang

To reduce the biases of traditional survey-based methods, this paper proposes an epidemic model-based approach to inference the incubation period distribution of COVID-19 utilizing the publicly reported confirmed case number. We construct…

Populations and Evolution · Quantitative Biology 2020-07-23 Shiyang Lai , Tianqi Zhao , Ningyuan Fan
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