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Stochastic Epidemic Modeling (Q2820308)

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Language	Label	Description	Also known as
English	Stochastic Epidemic Modeling	scientific article

Statements

scholarly article

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Stochastic Epidemic Modeling (English)

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Luis F. Gordillo

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Prescilla E. Greenwood

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Mathematical and Statistical Estimation Approaches in Epidemiology

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publication date

15 September 2016

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zbMATH Keywords

epidemic modeling

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stochastic SIR

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final size distribution

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vaccination

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stochastically sustained oscillations

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variable infectiousness

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-90-481-2313-1_2

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A Generalized Stochastic Model for the Analysis of Infectious Disease Final Size Data

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Stochastic epidemic models with a backward bifurcation

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Sustained oscillations in stochastic systems

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THE TOTAL SIZE OF A GENERAL STOCHASTIC EPIDEMIC

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Deterministic and stochastic epidemics with several kinds of susceptibles

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A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models

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The final size and severity of a generalised stochastic multitype epidemic model

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The shape of the size distribution of an epidemic in a finite population

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Epidemics with two levels of mixing

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The principle of the diffusion of arbitrary constants

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On a functional central limit theorem for Markov population processes

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The effect of household distribution on transmission and control of highly infectious diseases

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Backward bifurcations in simple vaccination models

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Critical scaling for the SIS stochastic epidemic

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Bimodal epidemic size distributions for near-critical SIR with vaccination

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The effect of patterns of infectiousness on epidemic size

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Strong approximation theorems for density dependent Markov chains

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Evolution and persistence of influenza A and other diseases.

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A non-standard family of polynomials and the final size distribution of Reed-Frost epidemic processes

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Collective epidemic models

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The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier

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The quasi-stationary distribution of the closed endemic sis model

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A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes

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Asymptotic final-size distribution for some chain-binomial processes

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Asymptotic final size distribution of the multitype Reed–Frost process

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On the asymptotic distribution of the size of a stochastic epidemic

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Semi-empirical power-law scaling of new infection rate to model epidemic dynamics with inhomogeneous mixing

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Identifiers

zbMATH Open document ID

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10.1007/978-90-481-2313-1_2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2820308

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