Modeling of the Invasion of a fungal Disease over a vineyard

Jean Baptiste Burie (1, 2) , Agnes Calonnec (3) , Michel Langlais (1, 2)

1 ANUBIS - Tools of automatic control for scientific computing, Models and Methods in Biomathematics
2 IMB - Institut de Mathématiques de Bordeaux
3 UMRSV - Unité Mixte de Recherche en Santé Végétale (INRA/ENITA)

The spatiotemporal spreading of a fungal disease over a vineyard is investigated using a SEIR-type model coupled with a set of partial differential equations describing the dispersal of the spores. The model takes into account both short and long range dispersal of spores and growth of foliar surface. Results of numerical simulations are presented. A mathematical result for the asymptotic behavior of the solutions is given as well.

Keywords: SEIR model; dispersal model; large time behavior

Domains: Analysis of PDEs [math.AP]; Symbiosis

Jean Baptiste Burie, Agnes Calonnec, Michel Langlais. Modeling of the Invasion of a fungal Disease over a vineyard. Deutsch, A.; Bravo de la PAra, R.; de Boer, R.J.; Diekmann, O.; Jagers, P.; Kisdi, E.; Kretzschmar, M.; lansky, P.; Metz,H. Mathematical Modeling of Biological Systems, volume II, Birkhauser, pp.12-24, 2008. ⟨hal-00200728⟩