REMARKS ON THE ASYMPTOTIC-BEHAVIOR AND THE THRESHOLD THEOREM IN MODELS OF PLANT-DISEASE EPIDEMICS - Forschungsportal der Justus-Liebig-Universität Gießen:

Journalartikel

REMARKS ON THE ASYMPTOTIC-BEHAVIOR AND THE THRESHOLD THEOREM IN MODELS OF PLANT-DISEASE EPIDEMICS

Autorenliste: HAU, B

Jahr der Veröffentlichung: 1988

Seiten: 372-376

Zeitschrift: Zeitschrift für Pflanzenkrankheiten und Pflanzenschutz = Journal of plant diseases and protection

Bandnummer: 95

Heftnummer: 4

ISSN: 0340-8159

Verlag: Ulmer

Abstract:
The asymptotic behaviour of the delay-differential equation which VANDERPLANK (1963) proposed for the description of epidemics was investigated using the formulae of VANDERPLANK (1984) and JEGER (1986). The calculation according to VANDERPLANK yields more meaningful results and leads to a new interpretation of the threshold theorem for epidemics (iR > 1). Accordingly, the threshold theorem does not mean that the disease cannot increase if iR .ltoreq. 1, which is explained using an example for the control of a disease by a fungicide.

Zitierstile

Harvard-Zitierstil: HAU, B. (1988) REMARKS ON THE ASYMPTOTIC-BEHAVIOR AND THE THRESHOLD THEOREM IN MODELS OF PLANT-DISEASE EPIDEMICS, Zeitschrift für Pflanzenkrankheiten und Pflanzenschutz = Journal of plant diseases and protection, 95(4), pp. 372-376

APA-Zitierstil: HAU, B. (1988). REMARKS ON THE ASYMPTOTIC-BEHAVIOR AND THE THRESHOLD THEOREM IN MODELS OF PLANT-DISEASE EPIDEMICS. Zeitschrift für Pflanzenkrankheiten und Pflanzenschutz = Journal of plant diseases and protection. 95(4), 372-376.

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