Mathematical Models in Epidemiology

Mathematical Models in Epidemiology

Mathematical Models in Epidemiology by Fred Brauer, Carlos Castillo-Chavez, and a co-author provides a comprehensive introduction to mathematical methods for understanding and analyzing infectious disease transmission. It explores compartmental models, vector-borne diseases, and the dynamics of major infections, including tuberculosis, HIV/AIDS, influenza, Ebola, malaria, dengue, and Zika. The book also examines advanced topics such as age structure, spatial distribution, and population mobility, making it valuable for mathematical modelers, epidemiologists, and public health professionals.

Key Features:

• Introduces the fundamental principles of mathematical epidemiology.
• Explains compartmental models used to represent infectious disease transmission.
• Examines heterogeneous mixing and differences in contact patterns between individuals.
• Covers mathematical models of vector-borne diseases.
• Analyzes transmission dynamics of tuberculosis, HIV/AIDS, and influenza.
• Explores models for Ebola, malaria, dengue fever, and Zika virus disease.
• Introduces advanced modeling topics, including age structure and spatial distribution.
• Examines the effects of population mobility on disease spread.
• Includes exercises and research-oriented projects to develop analytical skills.
• Provides mathematical background material to support readers with different levels of mathematical preparation.