TY - JOUR
T1 - A mathematical model of flavescence dorée epidemiology
AU - Lessio, Federico
AU - Portaluri, Alessandro
AU - Paparella, Francesco
AU - Alma, Alberto
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2015/9/4
Y1 - 2015/9/4
N2 - 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 transmission 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 constructed 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 progressively 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.
AB - 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 transmission 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 constructed 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 progressively 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.
KW - Critical transition
KW - Flavescence dorée
KW - Fold bifurcation
KW - Grapevine epidemiology
KW - Insecticide treatments
KW - Scaphoideus titanus ball
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U2 - 10.1016/j.ecolmodel.2015.05.014
DO - 10.1016/j.ecolmodel.2015.05.014
M3 - Article
AN - SCOPUS:84930959484
SN - 0304-3800
VL - 312
SP - 41
EP - 53
JO - Ecological Modelling
JF - Ecological Modelling
ER -