Concentration estimates in a multi-host epidemiological model structured by phenotypic traits

@article{Burie2019ConcentrationEI,
  title={Concentration estimates in a multi-host epidemiological model structured by phenotypic traits},
  author={J. B. Burie and Arnaud Ducrot and Quentin Griette and Quentin Richard},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
In this work we consider an epidemic system modelling the evolution of a spore-producing pathogen within a multi-host population of plants. Here we focus our analysis on the study of the stationary states. We first discuss the existence of such nontrivial states by using the theory of global attractors. Then we introduce a small parameter epsilon that characterises the width of the mutation kernel, and we describe the asymptotic shape of steady states with respect to epsilon. In particular, we… Expand

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