1 option
Mathematical Models in Epidemiology / by Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng.
Springer Nature - Springer Mathematics and Statistics eBooks 2019 English International Available online
View online- Format:
- Book
- Author/Creator:
- Brauer, Fred, author.
- Castillo-Chávez, Carlos, author.
- Feng, Zhilan, 1959- author.
- Series:
- Mathematics and Statistics (Springer-11649)
- Texts in applied mathematics 0939-2475 ; 69.
- Texts in Applied Mathematics, 0939-2475 ; 69
- Language:
- English
- Subjects (All):
- Biomathematics.
- Probabilities.
- Mathematical models.
- Physiological, Cellular and Medical Topics.
- Probability Theory and Stochastic Processes.
- Mathematical Modeling and Industrial Mathematics.
- Local Subjects:
- Physiological, Cellular and Medical Topics.
- Probability Theory and Stochastic Processes.
- Mathematical Modeling and Industrial Mathematics.
- Physical Description:
- 1 online resource (XVII, 619 pages) : 121 illustrations, 67 illustrations in color.
- Edition:
- First edition 2019.
- Contained In:
- Springer eBooks
- Place of Publication:
- New York, NY : Springer New York : Imprint: Springer, 2019.
- System Details:
- text file PDF
- Summary:
- The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals. .
- Contents:
- Introduction; A prelude to mathematical epidemiology
- Simple compartmental models for disease transmission
- Endemic disease models
- Epidemic models
- Models with heterogeneous mixing
- Models for diseases transmitted by vectors
- models for tuberculosis
- Models for HIV?AIDS
- Models for influenza
- Models for Ebola
- Models for malaria
- Dengue fever and the Zika virus
- Disease transmission models withagedpendence
- Spatial structure in disease transmission models
- Epidemiological models incorporating mobility, behavior, and time scales
- Challenges, opportunities, and theoretical epidemiology. .
- Other Format:
- Printed edition:
- ISBN:
- 978-1-4939-9828-9
- 9781493998289
- OCLC:
- 1122932366
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.