The Model

The vectors of a fungal disease are the spores produced by the colonies of fungus that lie on the vegetal tissue, which may be leaves, buds, fruits, etc. We assume for simplicity that the time variation of the surface of a colony can be neglected. Then as in 9 we consider the unit of disease to be a colony and the host to be a site, that is the surface occupied by a colony. The cycle of the epidemic is as follows when spores fall upon the vegetal tissue, they may create a new colony which will...

Modeling of the Invasion of a Fungal Disease over a Vineyard

Jean-Baptiste Burie,1 Agnes Calonnec,2 and Michel Langlais1 1 UMR CNRS 5466, Mathematiques Appliquees de Bordeaux, INRIA futurs, Equipe Anubis, case 26, Universite Victor Segalen Bordeaux 2,146 rue Leo Saignat, 33076 Bordeaux Cedex, France burie sm.u-bordeaux2.fr 2 INRA-CR de Bordeaux, UMR INRA-ENITA en Sante v getale, BP 81, 33883 Villenave d'Ornon, France calonnec bordeaux.inra.fr Summary. The spatiotemporal spreading of a fungal disease over a vineyard is investigated using a...

Numerical Experiments

An example of field data is available (Calonnec et al., personal communication) of a powdery mildew epidemic over a 5-row vineyard. It shows that without fungicide treatment the disease invades the entire vineyard within 3 months. We make a simulation of this particular vineyard. Each row is 66 m long and 0.5 m wide, and the distance between two rows is 1.5 m. We choose a rectangular computing domain such that the 5 rows are located at the center of the domain and is 3 times larger than the...