Mathematical Models in Epidemiology

• Main Authors: Brauer, Fred (Author, http://id.loc.gov/vocabulary/relators/aut), Castillo-Chavez, Carlos (http://id.loc.gov/vocabulary/relators/aut), Feng, Zhilan (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Texts in Applied Mathematics, 69
• Subjects: Biomathematics.; Probabilities.; Mathematical models.; Physiological, Cellular and Medical Topics.; Probability Theory and Stochastic Processes.; Mathematical Modeling and Industrial Mathematics.

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...

Table of 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. .