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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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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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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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Nodes’ Ranking Model Based on Influence Prediction [PDF]
Jisuanji kexue, 2023 The ranking of nodes’ influence has always been a hot issue in the research area of complex networks.Susceptible-infected-recovered(SIR) model is an ideal nodes’ influence ranking method,which is commonly used to evaluate other nodes’ in-fluence ranking ...
DUAN Shunran, YIN Meijuan, LIU Fenlin, JIAO Longlong, YU Lanlan
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Mathematics, 2022 According to the World Health Organization updates, the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) caused a pandemic between 2019 and 2022, with millions of confirmed cases and deaths worldwide.
Noor Alkhateeb +3 more
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An uncertain SIR rumor spreading model
Advances in Difference Equations, 2021 In this paper, an uncertain SIR (spreader, ignorant, stifler) rumor spreading model driven by one Liu process is formulated to investigate the influence of perturbation in the transmission mechanism of rumor spreading.
Hang Sun, Yuhong Sheng, Qing Cui
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A Mathematical Model of Epidemics—A Tutorial for Students
Mathematics, 2020 This is a tutorial for the mathematical model of the spread of epidemic diseases. Beginning with the basic mathematics, we introduce the susceptible-infected-recovered (SIR) model.
Yutaka Okabe, Akira Shudo
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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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Nature Communications, 2023 Many transcriptomic pathways in the liver show circadian rhythms, which have been reported to be disrupted in aged mice. Here the authors report that the expression of transcription factor Egr-1 decreases and its rhythm is shifted with age in the liver ...
Jing Wu +12 more
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An epidemic model for correlated information diffusion in crowd intelligence networks [PDF]
International Journal of Crowd Science, 2019 Purpose – With the popularity of the internet and the increasing numbers of netizens, tremendous information flows are generated daily by the intelligently interconnected individuals.
Yuejiang Li, H. Vicky Zhao, Yan Chen
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