[PDF] Top 20 The use of generation stochastic models to study an epidemic disease
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The use of generation stochastic models to study an epidemic disease
... Figure shows a deterministic susceptible-infective-susceptible model for an epidemic disease. In this figure, S is the susceptible population, I is the infective population, μ > is the natural death ... See full document
9
Stochastic dynamical behavior of SIRS epidemic models with random perturbation
... The paper is organized as follows. In Section 2, we introduce some preliminaries to be used in the later sections. In Section 3, we prove the positivity of the solution which is essential in stochastic population ... See full document
23
Threshold Dynamics of the Stochastic SIRC Epidemic Model
... fact, epidemic models are inevitably affected by environmental white noise which is an important component in realism, because it can provide an addi- tional degree of realism in comparison to their ... See full document
20
An SEIRS epidemic model with stochastic transmission
... on stochastic differential equa- tion models of population dynamics of infectious ...with models de- scribed by ordinary differential equations (ode), the stochastic differential equation (sde) ... See full document
16
Stochastic dynamics of an SEIS epidemic model
... the stochastic disease dynamics of an SEIS epidemic model with latent patients and active ...the disease-free and endemic dynamics of the ...the disease-free equilibrium in terms of R s ... See full document
11
The sensitivity of the epidemic growth rate to weather variables, with an application to yellow rust on wheat
... plant disease epidemiology. The route usually followed is to study the relationship of weather and disease using weather variables as the input to estimate their effect on the pathogen’s life cycle ... See full document
10
Moment closure approximations in epidemiology
... transmitted disease can depend strongly on a small number o f concurrent casual partnerships in a predominantly steady population with a slow turnover o f steady ...of disease spread and the final size o f ... See full document
196
Five challenges for stochastic epidemic models involving global transmission
... Many disease systems of interest are neither strongly super- critical (with large outbreaks possible), nor subcritical (with large outbreaks impossible), but instead exhibit ‘stuttering’ behaviour of repeated, ... See full document
5
The threshold of a stochastic SIQS epidemic model
... fact, epidemic models are inevitably affected by environmental white noise which is an important component in realism, because it can provide an additional degree of realism in comparison to their ... See full document
15
Dynamics of deterministic and stochastic multi group MSIRS epidemic models with varying total population size
... studying epidemic systems, we are interested in two prob- lems: one is when the disease will die out, and the other is when the disease will prevail and persist in a ...infectious disease; as ... See full document
25
Bayesian nonparametrics for stochastic epidemic models
... ric models, or sensitivity analyses if some of the under- lying model parameters are assumed to be known a pri- ...in epidemic mod- ...consider models that try to avoid making potentially restrictive ... See full document
13
Persistence and stability of the disease free equilibrium in a stochastic epidemic model with imperfect vaccine
... Subsequently to the work of [], Witbooi et al. [] verified that the disease-free equilib- rium point is almost surely exponentially stable if μ+γ β < , which improves condition (). However, for model (), ... See full document
14
A tutorial introduction to Bayesian inference for stochastic epidemic models using Approximate Bayesian Computation
... In this paper we deal with the case where we have discrete temporal count data which is very often the case in practice. In other words, typically, the observed data consist of the number of removed (or recovered) ... See full document
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The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models
... describe epidemic dynamics on random configuration networks, but here it is applied to a different stochastic ...making use of Theorem 2, to obtain a result which shows that cycles in the contact ... See full document
28
Stochastic Language Generation in Dialogue using Factored Language Models
... reranking models have been used for over a decade for language generation (Langkilde and Knight 1998); however, we do not know of any evaluation of their paraphrasing ...systems use statistics for ... See full document
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Dynamics of stochastic sis epidemic model with vertical transmission
... realism, epidemic models are always affected by the environmental noise (Mao,, ...to study how the environmental white noise affects dynamic behavior of the epidemic ...deterministic ... See full document
6
Dynamic of stochastic epidemic model based on the association between susceptible and recovered individuals
... The Kermark-Mckendrick model [1] is a SIR model for the number of people infected with infectious diseases in closed populations. It assumes that the size of the population is fixed (such as not being born, dying from ... See full document
15
Translating intracellular calcium signaling into models
... compartmentalized models makes them ideal candidates to start exploring cellular heterogeneity with low computational ...realistic models of intracellular Ca 2+ ... See full document
14
Stability Analysis and Stochastic SI Modelling of Endemic Diseases
... we study a stochastic epidemic model in Meta-population set- ...The stochastic model is obtained from the deterministic model by set up random perturbations about the endemic equilibrium ... See full document
19
The deterministic Kermack McKendrick model bounds the general stochastic epidemic
... an epidemic, the mean number of susceptibles in the general stochastic SIR epidemic is strictly larger than the number of suscepibles in the corresponding deterministic epidemic, the law of ... See full document
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