Asymptotic speed of spread for a nonlocal evolutionary-epidemic system
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en
Article de revue
Ce document a été publié dans
Discrete & Continuous Dynamical Systems - A. 2021, vol. 41, n° 10, p. 4959
American Institute of Mathematical Sciences
Résumé en anglais
We investigate spreading properties of solutions for a spatially distributed system of equations modelling the evolutionary epidemiology of plant-pathogen interactions. In this work the mutation process is described using ...Lire la suite >
We investigate spreading properties of solutions for a spatially distributed system of equations modelling the evolutionary epidemiology of plant-pathogen interactions. In this work the mutation process is described using a non-local convolution operator in the phenotype space. Initially equipped with a localized amount of infection, we prove that spreading occurs with a definite spreading speed that coincides with the minimal speed of the travelling wave solutions discussed in [1]. Moreover, the solution of the Cauchy problem asymptotically converges to some specific function for which the moving frame variable and the phenotype one are separated.< Réduire
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