Results 41 to 50 of about 570,641 (287)
Lyapunov functions for SIR and SIRS epidemic models
Applied Mathematics Letters, 2010 The authors consider the planar system \[ \begin{aligned} {dI\over dt} &= (q-\beta I-\beta R)I,\\ {dR\over dt} &= \gamma I-\omega R\end{aligned}\tag{\(*\)} \] related to epidemic models. Let \(Q_*= (I_*, R_*)\) be a positive equilibrium of \((*)\). It is shown that \[ U(I,R):= I- I_*\ln I+ a(R- R_*)^2 \] with \(a:= \beta/2\gamma> 0\) is a Lyapunov ...
O’Regan, Suzanne M. +4 more
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Spread of infectious diseases: Effects of the treatment of population
, 2017 In a metapopulation network, infectious diseases spread widely because of the travel of individuals. In the present study, we consider a modified metapopulation Susceptible-Infected-Removed (SIR) model with a latent period, which we call the SHIR model ...
Kudo, Kazue, Mizuno, Kanako
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Variance in System Dynamics and Agent Based Modelling Using the SIR Model of Infectious Disease [PDF]
, 2012 Classical deterministic simulations of epidemiological processes, such as those based on System Dynamics, produce a single result based on a fixed set of input parameters with no variance between simulations. Input parameters are subsequently modified on
Ahmed, Aslam +2 more
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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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Itô vs Stratonovich stochastic SIR models
Applied Mathematics Letters, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lanconelli A., Mori M.
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Constitutive Relation of Engineering Material Based on SIR Model and HAM
Journal of Applied Mathematics, 2014 As an epidemic mathematical model, the SIR model represents the transition of the Susceptible, Infected, and Recovered. The profound implication of the SIR model is viewed as the propagation and dynamic evolutionary process of the different internal ...
Haoxiang He, Enzhen Han, Maolin Cong
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Frontiers in Applied Mathematics and Statistics, 2021 The COVID-19 pandemic has had worldwide devastating effects on human lives, highlighting the need for tools to predict its development. The dynamics of such public-health threats can often be efficiently analyzed through simple models that help to make ...
P.L. de Andres +2 more
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Bass-SIR model for diffusion of new products
, 2016 We consider the diffusion of new products in social networks, where consumers who adopt the product can later "recover" and stop influencing others to adopt the product.
Fibich, Gadi
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu +10 more
wiley +1 more source
Approximate and Parametric Solutions to SIR Epidemic Model
AxiomsThis article provides a detailed exploration of the SIR epidemic model, starting with its meticulous formulation. The study employs a novel approach called the upper and lower bounds technique to approximate the solution to the SIR model, providing ...
Lazhar Bougoffa +2 more
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