| Autor: |
Rizk, Lara Abi, Burie, Jean-Baptiste, Ducrot, Arnaud |
| Předmět: |
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| Zdroj: |
Discrete & Continuous Dynamical Systems: Series A; Oct2021, Vol. 41 Issue 10, p4959-4985, 27p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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