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International Journal of Bifurcation and Chaos, 2012
A discrete-time deterministic epidemic model is proposed with the aim of reproducing the behavior observed in the incidence of real infectious diseases, such as oscillations and irregularities. For this purpose, we introduce, in a naïve discrete-time SIRS model, seasonal variability (i) in the loss of immunity and (ii) in the infection probability ...
Paladini, F., Renna, I., Renna, L.
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A discrete-time deterministic epidemic model is proposed with the aim of reproducing the behavior observed in the incidence of real infectious diseases, such as oscillations and irregularities. For this purpose, we introduce, in a naïve discrete-time SIRS model, seasonal variability (i) in the loss of immunity and (ii) in the infection probability ...
Paladini, F., Renna, I., Renna, L.
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2012
In this chapter, we introduce the basic SIR model and its properties. In this first section, we introduce the SIR model and review its dynamic properties assuming homogeneous mixing. In Sect. 3.2 the SIR model in endemic equilibrium is discussed whereas the link to serological data is made in Sect. 3.3.
Niel Hens +5 more
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In this chapter, we introduce the basic SIR model and its properties. In this first section, we introduce the SIR model and review its dynamic properties assuming homogeneous mixing. In Sect. 3.2 the SIR model in endemic equilibrium is discussed whereas the link to serological data is made in Sect. 3.3.
Niel Hens +5 more
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2021
The SIR model is popular compartment model with three populations, the susceptible, infectious, and recovered groups S, I, and R. It characterizes infectious diseases that provide immunity upon infection. Since the SIR model has no analytical solution for the time course of its populations, we discretize it in time using finite differences and adopt ...
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The SIR model is popular compartment model with three populations, the susceptible, infectious, and recovered groups S, I, and R. It characterizes infectious diseases that provide immunity upon infection. Since the SIR model has no analytical solution for the time course of its populations, we discretize it in time using finite differences and adopt ...
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2022
There is considerable discussion in the healthcare community around the world regarding many possible strategies to minimize the impact of the new coronavirus (COVID-19). Modeling and simulations are useful tools for estimating key parameters of transmission and for subsequent improvements in its management.
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There is considerable discussion in the healthcare community around the world regarding many possible strategies to minimize the impact of the new coronavirus (COVID-19). Modeling and simulations are useful tools for estimating key parameters of transmission and for subsequent improvements in its management.
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2017
This chapter focuses on the relationships between the continuous-time SIR models we have previously derived and identifying conditions under which they are appropriate. Unless otherwise noted, the models discussed in this chapter are SIR models. Each of these models involves some assumptions, and to understand their limitations, we need to understand ...
István Z. Kiss +2 more
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This chapter focuses on the relationships between the continuous-time SIR models we have previously derived and identifying conditions under which they are appropriate. Unless otherwise noted, the models discussed in this chapter are SIR models. Each of these models involves some assumptions, and to understand their limitations, we need to understand ...
István Z. Kiss +2 more
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Applied Mathematics-A Journal of Chinese Universities, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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STABILITY OF STOCHASTIC DELAYED SIR MODEL
Stochastics and Dynamics, 2009A stochastic version of the SIR model is investigated in this paper. The stability in probability of the steady state of the system is proved under suitable conditions on the white noise perturbations. Linearizations of the systems both with and without delay are given and their exponentially mean square stabilities are studied.
Chen, Guoting, Li, Tiecheng
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Dynamic behaviors of SIR and SIRS model
Proceedings of the 2nd International Symposium on Artificial Intelligence for Medicine Sciences, 2021Huawei Zhang, Xinhui Shen
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2017
The modeling of epidemics by hybrid and switched systems is introduced and analyzed. To begin, the classical SIR model is derived and its defining features are detailed. Motivated by variations in the contact rate between members of the population, a switched SIR model is formulated.
Xinzhi Liu, Peter Stechlinski
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The modeling of epidemics by hybrid and switched systems is introduced and analyzed. To begin, the classical SIR model is derived and its defining features are detailed. Motivated by variations in the contact rate between members of the population, a switched SIR model is formulated.
Xinzhi Liu, Peter Stechlinski
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Modelling Dengue with the SIR Model
2019Severe dengue outbreaks and their consequences point out the need for prognosis and control methods which can be derived by epidemiological mathematical models. In this article we develop a model to describe observed data on hospitalized dengue cases in Colombo (Sri Lanka) and Jakarta (Indonesia). Usually, the disease is epidemiologically modelled with
Peter Heidrich, Thomas Götz
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