Incorporating global dynamics to improve the accuracy of disease models: Example of a COVID-19 SIR model. [PDF]
PLoS ONE, 2022 Mathematical models of infectious diseases exhibit robust dynamics, such as stable endemic, disease-free equilibriums or convergence of the solutions to periodic epidemic waves.
Hadeel AlQadi, Majid Bani-Yaghoub
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A SIR model assumption for the spread of COVID-19 in different communities [PDF]
Chaos, Solitons and Fractals, 2020 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 investigate its spread ...
I. Cooper, A. Mondal, C. Antonopoulos
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SIR Model with Vaccination: Bifurcation Analysis [PDF]
Qualitative Theory of Dynamical Systems, 2022 There are few adapted SIR models in the literature that combine vaccination and logistic growth. In this article, we study bifurcations of a SIR model where the class of Susceptible individuals grows logistically and has been subject to constant ...
João P. S. Maurício de Carvalho +1 more
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Fractional stochastic sır model
Results in Physics, 2021 Stochastic and fractional differentiation have been developed independently to depicting processes following randomness and power, a declining memory and passage from one process to another respectively.
Badr Saad T. Alkahtani, Ilknur Koca
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An SIR model with viral load-dependent transmission. [PDF]
J Math Biol, 2023 The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the individuals’ viral load in the disease transmission by proposing a new susceptible-infectious-recovered ...
Della Marca R, Loy N, Tosin A.
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Tracking the early depleting transmission dynamics of COVID-19 with a time-varying SIR model
Scientific Reports, 2020 The susceptible-infectious-removed (SIR) model offers the simplest framework to study transmission dynamics of COVID-19, however, it does not factor in its early depleting trend observed during a lockdown.
Kian Boon Law +10 more
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Comments on some analytical and numerical aspects of the SIR model
Applied Mathematical Modelling, 2021 In their article, N. A. Kudryashov, M. A. Chmykhov, M. Vigdorowitsch, “Analytical features of the SIR model and their applications to COVID-19”, Applied Mathematical Modelling 90 (2021) 466–473, aimed to establish the relationships among S, I and R ...
D. Prodanov
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Approximation of the infection-age-structured SIR model by the conventional SIR model of infectious disease epidemiology [PDF]
Frontiers in EpidemiologyDuring the SARS-CoV-2 pandemic, the effective reproduction number (R-eff) has frequently been used to describe the course of the pandemic. Analytical properties of R-eff are rarely studied.
Ralph Brinks, Annika Hoyer
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Inverse problem for adaptive SIR model: Application to COVID-19 in Latin America
Infectious Disease Modelling, 2022 This work presents a method for solving an Adaptive Susceptible-Infected-Removed (A-SIR) epidemic model with time-dependent transmission and removal rates.
Tchavdar T. Marinov +1 more
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A simple modification to the classical SIR model to estimate the proportion of under-reported infections using case studies in flu and COVID-19 [PDF]
Infectious Disease ModellingBackground: Under-reporting and, thus, uncertainty around the true incidence of health events is common in all public health reporting systems. While the problem of under-reporting is acknowledged in epidemiology, the guidance and methods available for ...
Leonid Kalachev +2 more
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