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Related papers: A Macroeconomic SIR Model for COVID-19

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The estimate of the remaining time of an ongoing wave of epidemic spreading is a critical issue. Due to the variations of a wide range of parameters in an epidemic, for simple models such as Susceptible-Infected-Removed (SIR) model, it is…

Populations and Evolution · Quantitative Biology 2021-10-12 Anvesh Reddy , Hanesh Koganti , Sai Krishna , Suhas Reddy , Soumyajyoti Biswas

A simple analytical model for modeling the evolution of the 2020 COVID-19 pandemic is presented. The model is based on the numerical solution of the widely used Susceptible-Infectious-Removed (SIR) populations model for describing…

Populations and Evolution · Quantitative Biology 2020-08-26 Efthimios Kaxiras , George Neofotistos , Eleni Angelaki

We propose an SIR epidemic model coupled with opinion dynamics to study an epidemic and opinions spreading in a network of communities. Our model couples networked SIR epidemic dynamics with opinions towards the severity of the epidemic,…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Humphrey C. H. Leung , Shreyas Sundaram , Philip E. Paré

We consider a behavioral-feedback SIR epidemic model, in which the infection rate depends in feedback on the fractions of susceptible and infected agents, respectively. The considered model allows one to account for endogenous adaptation…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

A pandemic caused by a new coronavirus has spread worldwide, affecting Argentina. We implement an SEIR model to analyze the disease evolution in Buenos Aires and neighbouring cities. The model parameters are calibrated using the number of…

Populations and Evolution · Quantitative Biology 2020-07-16 Juan E. Santos , Jose' M. Carcione , Gabriela B. Savioli , Patricia M. Gauzellino , Alejandro Ravecca , Alfredo Moras

This study assesses the impact of COVID-19 vaccines through an epidemiological model that quantifies their role in pandemic control. We analyze an SIR-based model incorporating vaccination effects and calculate the basic reproduction…

Dynamical Systems · Mathematics 2025-07-29 Tesfalem Abate Tegegn , Yibeltal Adane Terefe

COVID-19 will be a continuous threat to human population despite having a few vaccines at hand until we reach the endemic state through natural herd immunity and total immunization through universal vaccination. However, the vaccine acts as…

Populations and Evolution · Quantitative Biology 2022-08-26 V. R. Saiprasad , R. Gopal , V. K. Chandrasekar , M. Lakshmanan

During the COVID-19 pandemic of 2019/2020, authorities have used temporary ad-hoc policy measures, such as lockdowns and mass quarantines, to slow its transmission. However, the consequences of widespread use of these unprecedented measures…

In this work, we discuss the SIR epidemiological model and different variations of it applied to the propagation of the COVID-19 pandemia; we employ the data of the state of Guanajuato and of Mexico. We present some considerations that can…

Populations and Evolution · Quantitative Biology 2022-11-16 Nana Cabo Bizet , Jonanthan Hidalgo Núñez , Gil Estefano Rodrígez Rivera

We introduce a policy model coupled with the susceptible-infected-recovered (SIR) epidemic model to study interactions between policy-making and the dynamics of epidemics. We consider both single-region policies, as well as game-theoretic…

Optimization and Control · Mathematics 2024-08-06 Xia Li , Andrea L. Bertozzi , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

The benefits, both in terms of productivity and public health, are investigated for different levels of engagement with the test, trace and isolate procedures in the context of a pandemic in which there is little or no herd immunity. Simple…

Populations and Evolution · Quantitative Biology 2020-07-08 Arkady Wey , Alan Champneys , Rosemary J Dyson , Nisreen A Alwan , Mary Barker

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

Social and Information Networks · Computer Science 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway

We have established a novel mathematical model that considers various aspects of the spreading of the virus, including, the transmission based on being in the latent period, environment to human transmission, governmental decisions, and…

Quantitative Methods · Quantitative Biology 2020-08-31 Kamran Soltani , Ghader Rezazadeh

In epidemiology, the effective reproduction number $R_e$ is used to characterize the growth rate of an epidemic outbreak. In this paper, we investigate properties of $R_e$ for a modified SEIR model of COVID-19 in the city of Houston, TX…

Populations and Evolution · Quantitative Biology 2021-04-22 Christopher Thron , Vianney Mbazumutima , Luis Vargas Tamayo , Leonard Todjihounde

The presence of a large number of infected individuals with few or no symptoms is an important epidemiological difficulty and the main mathematical feature of COVID-19. The A-SIR model, i.e. a SIR (Susceptible-Infected-Removed) model with a…

Populations and Evolution · Quantitative Biology 2020-08-19 Armando G. M. Neves , Gustavo Guerrero

Within the likes of any highly contagious and unpredictable disease, lies a predictable and attainable growth rate that researchers can find in order to make logistical conclusions about that particular disease and its affected regions'…

Applications · Statistics 2024-02-05 Julian Bennett , Lauren Eriksen , Xingjie Helen Li

In a pandemic like Covid-19, there are many countries of lower-earning cannot provide a complete locked-down within the duration of the detected case. The locked-down may result in famine throughout the region of underdeveloped countries…

Populations and Evolution · Quantitative Biology 2020-05-15 M. E. Hoque , S. K. Das

This paper considers a stochastic SIR (susceptible$\to$infective$\to$removed) epidemic model in which individuals may make infectious contacts in two ways, both within `households' (which for ease of exposition are assumed to have equal…

Probability · Mathematics 2015-03-13 Frank Ball , David Sirl , Pieter Trapman

We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe…

Physics and Society · Physics 2022-12-08 S. P. Lukyanets , I. S. Gandzha , O. V. Kliushnichenko

Ever since the outbreak of the COVID-19 epidemic, various public health control strategies have been proposed and tested against the coronavirus SARS-CoV-2. We study three specific COVID-19 epidemic control models: the susceptible, exposed,…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Zhe Xu , Bo Wu , Ufuk Topcu