A field scale model for the spread of fungal diseases in crops: the example of a powdery mildew epidemic over a large vineyard
The aim of this article is to derive an asymptotic two‐scale model for the propagation of a fungal disease over a large vineyard. The original model is based on a singularly perturbed system of two linear reaction‐diffusion equations coupled with a set of nonlinear ordinary differential equations in...
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| Autor*in: |
Burie, J.‐B [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Rechteinformationen: |
Nutzungsrecht: Copyright © 2014 John Wiley & Sons, Ltd. |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Mathematical methods in the applied sciences - Chichester, West Sussex : Wiley, 1979, 38(2015), 17, Seite 3720-3737 |
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| Übergeordnetes Werk: |
volume:38 ; year:2015 ; number:17 ; pages:3720-3737 |
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| DOI / URN: |
10.1002/mma.3312 |
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| 520 | |a The aim of this article is to derive an asymptotic two‐scale model for the propagation of a fungal disease over a large vineyard. The original model is based on a singularly perturbed system of two linear reaction‐diffusion equations coupled with a set of nonlinear ordinary differential equations in a highly heterogeneous medium. We prove the well‐posedness of the asymptotic model and obtain a convergence result confirmed by numerical simulations. Copyright © 2014 John Wiley & Sons, Ltd. | ||
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The aim of this article is to derive an asymptotic two‐scale model for the propagation of a fungal disease over a large vineyard. The original model is based on a singularly perturbed system of two linear reaction‐diffusion equations coupled with a set of nonlinear ordinary differential equations in a highly heterogeneous medium. We prove the well‐posedness of the asymptotic model and obtain a convergence result confirmed by numerical simulations. Copyright © 2014 John Wiley & Sons, Ltd. |
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The aim of this article is to derive an asymptotic two‐scale model for the propagation of a fungal disease over a large vineyard. The original model is based on a singularly perturbed system of two linear reaction‐diffusion equations coupled with a set of nonlinear ordinary differential equations in a highly heterogeneous medium. We prove the well‐posedness of the asymptotic model and obtain a convergence result confirmed by numerical simulations. Copyright © 2014 John Wiley & Sons, Ltd. |
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The aim of this article is to derive an asymptotic two‐scale model for the propagation of a fungal disease over a large vineyard. The original model is based on a singularly perturbed system of two linear reaction‐diffusion equations coupled with a set of nonlinear ordinary differential equations in a highly heterogeneous medium. We prove the well‐posedness of the asymptotic model and obtain a convergence result confirmed by numerical simulations. Copyright © 2014 John Wiley & Sons, Ltd. |
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| doi_str |
10.1002/mma.3312 |
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2024-07-04T02:43:50.398Z |
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1803614715016904704 |
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