Mathematical epidemiology of infectious diseases : model building, analysis, and interpretation

by: Diekmann, O

Publication date: 2000

Topics: Communicable diseases -- Epidemiology -- Mathematical models, Maladies infectieuses -- Épidémiologie, 44.11 preventive medicine, 44.75 infectious diseases, parasitic diseases, 42.11 biomathematics, Epidemiologie, Infectieziekten, Gewone differentiaalvergelijkingen, Communicable Diseases -- epidemiology, Mathematics, Models, Theoretical

Publisher: Chichester ; New York : John Wiley

Collection: inlibrary; printdisabled; internetarchivebooks

Digitizing sponsor: The Arcadia Fund

Contributor: Internet Archive

Language: English

xvi, 303 pages : 25 cm

"Provides systematic coverage of the mathematical theory of modelling epidemics in populations, with a clear and coherent discussion of the issues, concepts and phenomena. Mathematical modelling of epidemics is a vast and important area of study and this book helps the reader to translate, model, analyse and interpret, with numerous applications, examples and exercises to aid understanding."--Publisher description

Includes bibliographical references (pages 297-300) and index

I. The bare bones: Basic issues explained in the simplest context -- 1. The epidemic in a closed population -- 2. Heterogeneity: The art of averaging -- 3. Dynamics at the demographic time scale -- II. Structured populations -- 4. The concept of state -- 5. The basic reproduction ratio -- 6. And everything else ... -- 7. Age structure -- 8. Spatial spread -- 9. Macroparasites -- 10. What is contact? -- III. The hard part: Elaborations to (almost) all exercises -- 11. Elaborations for Part I -- 12. Elaborations for Part II -- Appendix A. Stochastic basis of the Kermack-McKendrick ODE model -- Appendix B. Bibliographic skeleton