RIZK, Lara Abi; BURIE, Jean-Baptiste; DUCROT, Arnaud

doi:10.3934/dcds.2021064

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RIZK, Lara Abi
Institut de Mathématiques de Bordeaux [IMB]

BURIE, Jean-Baptiste
Institut de Mathématiques de Bordeaux [IMB]

DUCROT, Arnaud
Laboratoire de Mathématiques Appliquées du Havre [LMAH]

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Discrete & Continuous Dynamical Systems - A. 2021, vol. 41, n° 10, p. 4959

American Institute of Mathematical Sciences

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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.< Leer menos

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Asymptotic speed of spread for a nonlocal evolutionary-epidemic system

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