| Abstract: |
| The development of metabolic resistance complicates the treatment of economic plants with herbicides and is not yet fully understood. We present a population-dynamic 2D reaction-diffusion equation as a polygenic fitness model for the development of metabolic resistance. We explore the general dynamics due to inheritance as a reaction term and its interaction with spatial spread. Further, we construct a family of submodels and investigate the hierarchy of the modelled effects. As a consequence to the application in agriculture, we numerically investigate the effects of spatial barriers on the dynamics. |
|