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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.

Biology - General --- Genetics --- Biology --- Health & Biological Sciences --- Mathematics. --- Infectious diseases. --- Microbiology. --- Mathematical models. --- Biomathematics. --- Genetics and Population Dynamics. --- Infectious Diseases. --- Mathematical Modeling and Industrial Mathematics. --- Emerging infectious diseases. --- Microbial biology --- Microorganisms --- Emerging infections --- New infectious diseases --- Re-emerging infectious diseases --- Reemerging infectious diseases --- Communicable diseases --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Heredity --- Mutation (Biology) --- Variation (Biology) --- Communicable diseases. --- Infection. --- Models, Mathematical --- Simulation methods --- Mathematics

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This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.

Epidemiology --- Mathematics. --- Diseases --- Public health --- Biomathematics. --- Mathematical models. --- Systems biology. --- Mathematical and Computational Biology. --- Mathematical Modeling and Industrial Mathematics. --- Systems Biology. --- Computational biology --- Bioinformatics --- Biological systems --- Molecular biology --- Models, Mathematical --- Simulation methods --- Biology --- Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.

Mathematics --- Biomathematics. Biometry. Biostatistics --- Biology --- Biotechnology --- biomathematica --- biologie --- mathematische modellen --- wiskunde