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Applied Mathematics-A Journal of Chinese Universities, 2004
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A weighted networked SIRS epidemic model
Journal of Differential Equations, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuhan Liu, Canrong Tian
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Simplicial SIRS epidemic models with nonlinear incidence rates
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021Mathematical epidemiology that describes the complex dynamics on social networks has become increasingly popular. However, a few methods have tackled the problem of coupling network topology with complex incidence mechanisms. Here, we propose a simplicial susceptible-infected-recovered-susceptible (SIRS) model to investigate the epidemic spreading via ...
Dong Wang +3 more
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The standard SIR epidemic model
2000In this chapter we present a simple model for the spread of an infectious disease. Several simplifying assumptions are made. In particular, the population is assumed to be closed, homogeneous and homogeneously mixing. Also, the effects of latent periods, change in behaviour, time varying infectivity and temporary or partial immunity are not taken into ...
Håkan Andersson, Tom Britton
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A $$\textit{SIR}$$ SIR epidemic model with incubation period
Afrika Matematika, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modeling Epidemics: Neural Network Based on Data and SIR-Model
Журнал вычислительной математики и математической физики, 2023Earlier, a method for constructing an initial approximation for solving the inverse problem of acoustics by a gradient method based on a convolutional neural network trained to predict the distribution of velocities in a medium from wave response was proposed [9].
Krivorotko, O. I. +2 more
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A New Lyapunov Function for SIRS Epidemic Models
Bulletin of the Malaysian Mathematical Sciences Society, 2016This paper studies an SIRS epidemic model with general nonlinear incidence rate, vaccination in susceptible and varying population size described by the following equations: \[ \begin{aligned} \dot{S}=&A-\beta f(S)g(I)-d_1S-\eta S+\delta R,\\ \dot{I}=&\beta f(S)g(I)-(d_2+\gamma)I,\\ \dot{R}=&\eta S+\gamma I-(d_3+\delta)R,\end{aligned} \] where \(d_1 ...
Tang, Qian +2 more
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A SIR EPIDEMIC MODEL STRUCTURED BY IMMUNOLOGICAL VARIABLES
Journal of Biological Systems, 2013Standard mathematical models for analyzing the spread of a disease are usually either epidemiological or immunological. The former are mostly ordinary differential equation (ODE)-based models that use classes like susceptibles, recovered, infectives, latently infected, and others to describe the evolution of an epidemic in a population.
Angulo, Oscar +2 more
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A Restricted Epidemic SIR Model with Elementary Solutions
SSRN Electronic Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Age-Structured SIR Epidemic Model
2017The transmission process of infectious agents is largely affected by biological factors, social behavior, and the activity of hosts. These components are essentially (chronological) age dependent; in addition, any mass vaccination policy targets individuals in specific age classes. Therefore, it is crucial to take into account the host age structure to
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