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Titlebook: An Introduction to Mathematical Epidemiology; Maia Martcheva Textbook 2015 Springer Science+Business Media New York 2015 Data Fitting.Epid

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发表于 2025-3-21 19:11:56 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Mathematical Epidemiology
影响因子2023Maia Martcheva
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发行地址A comprehensive introduction to mathematical epidemiology accelerating from beginner to advanced research level.Provides detailed introduction to applied dynamical systems while linking to epidemiolog
学科分类Texts in Applied Mathematics
图书封面Titlebook: An Introduction to Mathematical Epidemiology;  Maia Martcheva Textbook 2015 Springer Science+Business Media New York 2015 Data Fitting.Epid
影响因子.The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models..
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发表于 2025-3-21 21:05:48 | 显示全部楼层
https://doi.org/10.1007/978-1-4899-7612-3Data Fitting; Epidemic Modeling; Infectious Diseases; Mathematical Epidemiology; Mathematical Modeling; O
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发表于 2025-3-22 06:37:35 | 显示全部楼层
Das urologische Haftpflichtgutachtenr of definitions of key epidemiological concepts are given. The chapter introduces a brief history of the study and modeling of infectious diseases, highlighting the seminal contributions of Sir Ronald Ross. Finally, the chapter gives a description of the modeling process in biology and a list of th
发表于 2025-3-22 11:08:29 | 显示全部楼层
Die Vorbereitung des Gutachtensc model. Furthermore, it studies the basic mathematical properties of the model. The model is then fitted to data on influenza at an English boarding school, and its parameters are estimated from the data. In addition, a simple SIS model is introduced and reduced to a single-equation epidemic model.
发表于 2025-3-22 16:01:10 | 显示全部楼层
https://doi.org/10.1007/978-3-662-02163-7del, which results in an SIR model with demography. The model is reduced to a 2 × 2 system and nondimensionalized. General tools for analysis of planar systems are presented and applied to the SIR model. The basic reproduction number is defined, and its mathematical and epidemiological significance
发表于 2025-3-22 21:04:31 | 显示全部楼层
https://doi.org/10.1007/978-3-662-02163-7ecies model of a vector-borne disease is introduced and studied mathematically. Delay-differential equations are introduced, and the simple vector-borne disease model is recast as a single delay-differential equation model. The simple model is studied both analytically and numerically, and it is sho
发表于 2025-3-23 00:35:41 | 显示全部楼层
https://doi.org/10.1007/978-3-662-02163-7atic stage, a model with a carrier stage, a model with quarantine/isolation, a vaccination model, a tuberculosis model with treatment, and models with host and pathogen heterogeneities. The current state-of-the-art tools for the computation of the reproduction number in complex models, including the
发表于 2025-3-23 01:35:56 | 显示全部楼层
https://doi.org/10.1007/978-3-662-34044-8ted on examples and MATLAB code for the fitting is given. This chapter also gives a point-by-point list of steps that should be followed when fitting is performed. The concepts of model selection and the Akaike Information Criterion are introduced and illustrated on examples. Computing elasticities
发表于 2025-3-23 07:25:23 | 显示全部楼层
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