A mathematical model for weed dispersal and control. (English) Zbl 0856.92024
Summary: Mathematical models for weed dispersal and control are developed, analyzed and numerically simulated. A model incorporating periodic control, e.g. herbicide application, is derived for a plant population in a spatially homogeneous setting. The model is extended to a spatially heterogeneous population where plant dispersal is incorporated. The dispersal and control model involves integrodifference equations, discrete in time and continuous in space. The models are analyzed to determine values of the control parameter that prevent weed spread. The effects of the control on travelling wave solutions are investigated numerically.
MSC:
| 92D40 | Ecology |
| 93C95 | Application models in control theory |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
Keywords:
weed dispersal; periodic control; herbicide application; spatially heterogeneous population; plant dispersal; integrodifference equations; travelling wave solutionsReferences:
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