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We investigate the structure of
travelling waves for a model of a fungal disease propagating over
a vineyard. This model is based on a set of ODEs of the SIR-type
coupled with two reaction-diffusion equations describing the
dispersal of the spores produced by the fungus inside and over the
vineyard. An estimate of the biological parameters in the model
suggests to use a singular perturbation analysis. It allows us to
compute the speed and the profile of the travelling waves. The
analytical results...
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