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We study a model for the morphology and growth of the fungus Phytophthora,
a plant pathogen with a highly damaging impact on forestry economy
with features related to the Ash die back disease.
The model is based on a kinetic equation for the spread of the density of hyphen tips,
whereas the branching of tips induces a delayed nonlinear growth term.
We present how to prove the existence of travelling front solutions for this model
and study the effect of the delay on the speed of these fronts.
We also investigate the question if the nonlinear term is able to impose non-monotone wave profiles.
This is joint work with J Mueller from TU Munich |
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