✍ Scribed by Maia Martcheva
No coin nor oath required. For personal study only.
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.
Front Matter....Pages i-xiv
Introduction....Pages 1-8
Introduction to Epidemic Modeling....Pages 9-31
The SIR Model with Demography: General Properties of Planar Systems....Pages 33-66
Vector-Borne Diseases....Pages 67-89
Techniques for Computing (\mathcal{R}_{0}) ....Pages 91-121
Fitting Models to Data....Pages 123-148
Analysis of Complex ODE Epidemic Models: Global Stability....Pages 149-181
Multistrain Disease Dynamics....Pages 183-214
Control Strategies....Pages 215-248
Ecological Context of Epidemiology....Pages 249-279
Zoonotic Disease, Avian Influenza, and Nonautonomous Models....Pages 281-300
Age-Structured Epidemic Models....Pages 301-329
Class-Age Structured Epidemic Models....Pages 331-360
Immuno-Epidemiological Modeling....Pages 361-386
Spatial Heterogeneity in Epidemiological Models....Pages 387-414
Discrete Epidemic Models....Pages 415-440
Back Matter....Pages 441-453
Genetics and Population Dynamics; Microbiology; Infectious Diseases; Mathematical Modeling and Industrial Mathematics
📜 SIMILAR VOLUMES
Health Sciences & Professions
<p><i>Epidemiology Kept Simple</i> introduces the epidemiological principles and methods that are increasingly important in the practice of medicine and public health. With minimum use of technical language it fully explains terminology, concepts, and techniques associated with traditional and moder
“The contents are not specifically nursing orientated but very neatly balanced to be of relevance to all working in the public health arena…the book is well written, the language is clear, and the concepts clearly and simply explained and easily understood” Journal of Biosocial Science W
<p><P>An Introduction to Epidemiology for Health Professionals</P><P></P><P>Jorn Olsen, Kaare Christensen, Jeff Murray, and Anders Ekbom</P><P></P><P></P><P>Who gets sick? What factors—genetic, environmental, social—contribute to their illness?</P><P></P><P>Easy enough to ask, but the answers are be
<p><P>An Introduction to Epidemiology for Health Professionals</P><P></P><P>Jorn Olsen, Kaare Christensen, Jeff Murray, and Anders Ekbom</P><P></P><P></P><P>Who gets sick? What factors—genetic, environmental, social—contribute to their illness?</P><P></P><P>Easy enough to ask, but the answers are be