An Introduction to Mathematical Modeling of Infectious Diseases

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Release : 2018-01-30
Genre : Mathematics
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Book Rating : 224/5 ( reviews)

An Introduction to Mathematical Modeling of Infectious Diseases - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Mathematical Modeling of Infectious Diseases write by Michael Y. Li. This book was released on 2018-01-30. An Introduction to Mathematical Modeling of Infectious Diseases available in PDF, EPUB and Kindle. This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.

A Historical Introduction to Mathematical Modeling of Infectious Diseases

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Release : 2016-10-18
Genre : Medical
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Book Rating : 992/5 ( reviews)

A Historical Introduction to Mathematical Modeling of Infectious Diseases - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Historical Introduction to Mathematical Modeling of Infectious Diseases write by Ivo M. Foppa. This book was released on 2016-10-18. A Historical Introduction to Mathematical Modeling of Infectious Diseases available in PDF, EPUB and Kindle. A Historical Introduction to Mathematical Modeling of Infectious Diseases: Seminal Papers in Epidemiology offers step-by-step help on how to navigate the important historical papers on the subject, beginning in the 18th century. The book carefully, and critically, guides the reader through seminal writings that helped revolutionize the field. With pointed questions, prompts, and analysis, this book helps the non-mathematician develop their own perspective, relying purely on a basic knowledge of algebra, calculus, and statistics. By learning from the important moments in the field, from its conception to the 21st century, it enables readers to mature into competent practitioners of epidemiologic modeling. Presents a refreshing and in-depth look at key historical works of mathematical epidemiology Provides all the basic knowledge of mathematics readers need in order to understand the fundamentals of mathematical modeling of infectious diseases Includes questions, prompts, and answers to help apply historical solutions to modern day problems

An Introduction to Mathematical Epidemiology

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Release : 2015-10-20
Genre : Mathematics
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Book Rating : 124/5 ( reviews)

An Introduction to Mathematical Epidemiology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Mathematical Epidemiology write by Maia Martcheva. This book was released on 2015-10-20. An Introduction to Mathematical Epidemiology available in PDF, EPUB and Kindle. 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.

An Introduction to Infectious Disease Modelling

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Release : 2010-05-13
Genre : Language Arts & Disciplines
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Book Rating : 763/5 ( reviews)

An Introduction to Infectious Disease Modelling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Infectious Disease Modelling write by Emilia Vynnycky. This book was released on 2010-05-13. An Introduction to Infectious Disease Modelling available in PDF, EPUB and Kindle. Mathematical models are increasingly used to guide public health policy decisions and explore questions in infectious disease control. Written for readers without advanced mathematical skills, this book provides an introduction to this area.

Mathematical Epidemiology of Infectious Diseases

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Release : 2000-04-07
Genre : Mathematics
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Book Rating : 412/5 ( reviews)

Mathematical Epidemiology of Infectious Diseases - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Epidemiology of Infectious Diseases write by O. Diekmann. This book was released on 2000-04-07. Mathematical Epidemiology of Infectious Diseases available in PDF, EPUB and Kindle. Mathematical Epidemiology of Infectious Diseases Model Building, Analysis and Interpretation O. Diekmann University of Utrecht, The Netherlands J. A. P. Heesterbeek Centre for Biometry Wageningen, The Netherlands The mathematical modelling of epidemics in populations is a vast and important area of study. It is about translating biological assumptions into mathematics, about mathematical analysis aided by interpretation and about obtaining insight into epidemic phenomena when translating mathematical results back into population biology. Model assumptions are formulated in terms of, usually stochastic, behaviour of individuals and then the resulting phenomena, at the population level, are unravelled. Conceptual clarity is attained, assumptions are stated clearly, hidden working hypotheses are attained and mechanistic links between different observables are exposed. Features: * Model construction, analysis and interpretation receive detailed attention * Uniquely covers both deterministic and stochastic viewpoints * Examples of applications given throughout * Extensive coverage of the latest research into the mathematical modelling of epidemics of infectious diseases * Provides a solid foundation of modelling skills The reader will learn to translate, model, analyse and interpret, with the help of the numerous exercises. In literally working through this text, the reader acquires modelling skills that are also valuable outside of epidemiology, certainly within population dynamics, but even beyond that. In addition, the reader receives training in mathematical argumentation. The text is aimed at applied mathematicians with an interest in population biology and epidemiology, at theoretical biologists and epidemiologists. Previous exposure to epidemic concepts is not required, as all background information is given. The book is primarily aimed at self-study and ideally suited for small discussion groups, or for use as a course text.