REMARKS ON THE ASYMPTOTIC-BEHAVIOR AND THE THRESHOLD THEOREM IN MODELS OF PLANT-DISEASE EPIDEMICS - Research portal of Justus Liebig University Giessen:

Journal article

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

Authors list: HAU, B

Publication year: 1988

Pages: 372-376

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

Volume number: 95

Issue number: 4

ISSN: 0340-8159

Publisher: 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.

Citation Styles

Harvard Citation style: 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 Citation style: 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.

SDG Areas