Modelling pesticide uptake by potatoes through an ordinary differential equation coupled with a dispersion-advection equation.
The objective of this work is to present a model that simulates pesticide uptake by potatoes using a system with two differential equations, where one equation describes pesticide uptake by potatoes and the other one describes the pesticide lixiviation in soil. It was assumed that uptake and lixiviation occur, respectively, by diffusion of the pesticide through potato tissues and by diffusion and advection of the pesticide in soil profile. Uptake was described by an ordinary differential equation (ODE) that was coupled to a dispersionadvection equation (DAE). These equations describe the kinetics of the pesticide in potatoes and in soil profile, respectively. The coupled equations (ODE-DAE) were numerically solved through a finite difference method, programmed in Matlab® system, and used to simulate uptake of pesticides by potatoes.
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Separatas biblioteca |
| Language: | English eng |
| Published: |
2013-10-15
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| Subjects: | Pesticide., Batata, Agrotóxico, Absorção, Modelo matemático, Modelo de simulação, Potatoes, Absorption, Simulation models., |
| Online Access: | http://www.alice.cnptia.embrapa.br/alice/handle/doc/968646 |
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| Summary: | The objective of this work is to present a model that simulates pesticide uptake by potatoes using a system with two differential equations, where one equation describes pesticide uptake by potatoes and the other one describes the pesticide lixiviation in soil. It was assumed that uptake and lixiviation occur, respectively, by diffusion of the pesticide through potato tissues and by diffusion and advection of the pesticide in soil profile. Uptake was described by an ordinary differential equation (ODE) that was coupled to a dispersionadvection equation (DAE). These equations describe the kinetics of the pesticide in potatoes and in soil profile, respectively. The coupled equations (ODE-DAE) were numerically solved through a finite difference method, programmed in Matlab® system, and used to simulate uptake of pesticides by potatoes. |
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