An Introduction to Mathematical Epidemiology

Nonfiction, Science & Nature, Science, Biological Sciences, Microbiology, Mathematics, Applied
Cover of the book An Introduction to Mathematical Epidemiology by Maia Martcheva, Springer US
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Author: Maia Martcheva ISBN: 9781489976123
Publisher: Springer US Publication: October 20, 2015
Imprint: Springer Language: English
Author: Maia Martcheva
ISBN: 9781489976123
Publisher: Springer US
Publication: October 20, 2015
Imprint: Springer
Language: English

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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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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