Titlebook: Mathematics of Epidemics on Networks; From Exact to Approx István Z. Kiss,Joel C. Miller,Péter L. Simon Textbook 2017 Springer Internationa

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István Z. Kiss,Joel C. Miller,Péter L. Simon, and minerals..This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of978-94-007-3425-8978-94-007-0350-6Series ISSN 0925-0042 Series E-ISSN 2214-7764

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István Z. Kiss,Joel C. Miller,Péter L. Simon, and minerals..This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of978-94-007-3425-8978-94-007-0350-6Series ISSN 0925-0042 Series E-ISSN 2214-7764

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István Z. Kiss,Joel C. Miller,Péter L. Simon, and minerals..This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of978-94-007-3425-8978-94-007-0350-6Series ISSN 0925-0042 Series E-ISSN 2214-7764

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István Z. Kiss,Joel C. Miller,Péter L. Simon, and minerals..This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of978-94-007-3425-8978-94-007-0350-6Series ISSN 0925-0042 Series E-ISSN 2214-7764

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Exact propagation models on networks: top down,e begin our network-based investigation by setting up the problem we will study. We introduce the full stochastic model and show how to derive exact equations to calculate the probability of the entire network being in a given state.

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Mean-field approximations for heterogeneous networks,ions. The heterogeneity in degree can significantly affect disease dynamics [254]. This requires more sophisticated models. In this chapter, we formulate mean-field models in terms of population-level counts of the number of nodes with a given degree and status.

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Hierarchies of SIR models,y 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 whether the true spread “respects” these assumptions.

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