Seminar on Mathematics for various disciplines

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Date, time & place Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.)

2005/11/22

16:30-17:30   Room #128 (Graduate School of Math. Sci. Bldg.)
Hans Heesterbeek (University of Utrecht)
Mathematics in the epidemiology and control of infectious diseases
[ Abstract ]
In this lecture I will give examples of the way in which mathematics helps in getting insight into the spread and control of infectious diseases. I will do this by discussing the population phenomena that are observed after an infectious agent enters a population (invasion, epidemic, recurrent epidemic, endemic, regulation, control). Along the way I will also give insight into the historical development of mathematical modelling in infectious disease epidemiology. Examples will be taken from human and animal infections. Special topics treated in some detail are threshold quantities such as the basic reproduction number R_0, the importance of understanding the structure of contacts in a population, the use of R_0 to estimate control effort with vaccines. In the last part of the lecture a number of important epidemiological problems will be discussed where input of new mathematical theory is needed.
[ Reference URL ]
http://coe.math.sci.hokudai.ac.jp/sympo/various/index.html