A mathematical model of flavescence dorée epidemiology
Abstract
Flavescence dorée (FD) is a disease of grapevine transmitted by an insect vector, Scaphoideus titanus Ball. At present, no prophylaxis exists, so mandatory control procedures (e.g. removal of infected plants, and insecticidal sprays to avoid transmission) are in place in Italy and other European countries. We propose a model of the epidemiology of FD by taking into account the different aspects involved into the transmis- sion process (acquisition of the disease, latency and expression of symptoms, recovery rate, removal and replacement of infected plants, insecticidal treatments, and the effect of hotbeds). The model was con- structed as a system of first order nonlinear ODEs in four compartment variables. A bifurcation analysis shows that, in the absence of hotbeds, the state of healthy vineyard is stable, if removal and replacement of infected plants is implemented. In the presence of hotbeds, depending on the grapevine density, we find either a single family of equilibria in which the health of the vineyard gradually deteriorates for pro- gressively more severe hotbeds, or multiple equilibria that give rise to sudden transitions from a nearly healthy vineyard to a highly deteriorated one when the severity of the hotbeds crosses a critical value. These results show the long-term risks in planting new vineyards in environmental situations where strong hotbeds of FD are present or may arise in the surroundings.
Autore Pugliese
Tutti gli autori
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Lessio F. , Portaluri A. , Paparella F. , Alma A.
Titolo volume/Rivista
ECOLOGICAL MODELLING
Anno di pubblicazione
2015
ISSN
0304-3800
ISBN
Non Disponibile
Numero di citazioni Wos
Nessuna citazione
Ultimo Aggiornamento Citazioni
Non Disponibile
Numero di citazioni Scopus
3
Ultimo Aggiornamento Citazioni
28/04/2018
Settori ERC
Non Disponibile
Codici ASJC
Non Disponibile
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