Titlebook: Stochastic Epidemic Models with Inference; Tom Britton,Etienne Pardoux Book 2019 Springer Nature Switzerland AG 2019 Infectious disease.Ho

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Chapter 2 The Reproduction Number R0We consider the early stage of the epidemics. Let us consider a single first infective of degree d. in a population of large size N.

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Chapter 3 SIR Epidemics on Configuration Model GraphsWe now turn to establishing limit theorems for approximating the dynamics of the disease in large populations, when N →+∞, similarly to Chapter 2 in Part I of this book.

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Chapter 4 Statistical Description of Epidemics Spreading on Networks: The Case of Cuban HIVIn this section, we turn our attention to epidemics spreading on networks. Probability models have been described in Section 1.4.We now deal with the statistical treatment of data obtained from diseases propagating on networks.

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Observations and Asymptotic FrameworksThe methods used to build estimators are linked with the precise nature of the observations, each kind of observations generating a different statistical problem. We detail these facts in the next sections. We have intentionally omitted in this chapter the additional problem of noisy observations, which often occurs in practice.

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https://doi.org/10.1007/978-3-030-30900-8Infectious disease; Homogeneous models; Two-level mixing models; Epidemics on graphs; statistics on epid

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