By J. Kranz (auth.), Professor Dr. Jürgen Kranz (eds.)
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This booklet involves lecture notes of a summer time college named after the past due Jacques Louis Lions. The summer season college was once designed to alert either Academia and to the expanding function of multidisciplinary equipment and instruments for the layout of advanced items in a number of parts of socio-economic curiosity.
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Extra info for Epidemics of Plant Diseases: Mathematical Analysis and Modeling
3 I m 'Y2(1-YI) --g t2-tl YI(1-Y2) (21) Another concept which is offered by VAN DER PLANK (1960, 1963), is the basic infection rate, which is no longer based on the proportion Yt of diseased susceptible host tissue alone, but on that proportion of y which has passed the latent period and thus has become infectious and dy/ dt = RYt-p(l - Yt) (22) R = lIYo(t2 - t l ) (in 111 - Y2 - In 111 - YI) (23) The Role and Scope of Mathematical Analysis and Modeling in Epidemiology 31 where R = basic infection rate, Yo = initial disease, Yt = disease at time t, and = proportion of disease that has passed the latent period p.
Ecology of plant pathogens in soil. VII. Mathematical models and inoculum density. Phytopathology 57, 662--666 (1967). BALD,]. : Measurement of host reactions to soil-borne inoculum. In: Root diseases and soilborne pathogens. (ed. A. TOUSSOUN, R. E. 37-41. Berkeley, Los Angeles, London: Univ. of California Press 1970. : Beitrage zur Epidemiologie von Cercospora beticola Sacco an Zuckerriiben. D. Thesis Univ. Bonn (1971).
Growth functions from which models for transformation of disease progress curves can be derived, by the way, apparently have a wide scope, as shown by ANALYTIS (1973, Tables 2 and 3). for more details on growth functions see JOWETT et al. 3 Populations Changing in Time Time aspects so far have met the greatest interest in epidemiology, as reflected by the published evidence. This mostly refers to the progress of disease, either within a pathogens generation (cycle) or as polycyclic diseases within a vegetation period, year, or any other time unit.