Singular Perturbation Analysis of Travelling Waves for a Model in Phytopathology

@inproceedings{Burie2006SingularPA,
  title={Singular Perturbation Analysis of Travelling Waves for a Model in Phytopathology},
  author={J. B. Burie and Agn{\`e}s Calonnec and Arnaud Ducrot},
  year={2006}
}
We investigate the structure of travelling waves for a model of a fungal disease propa- gating 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… CONTINUE READING

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