An epi‐evolutionary model for predicting the adaptation of spore‐producing pathogens to quantitative resistance in heterogeneous environments

Autor: Ramsès Djidjou-Demasse, Frédéric Fabre, Sébastien Lion, Arnaud Ducrot, Quentin Richard, Jean-Baptiste Burie

Publikováno v: Evolutionary Applications
Evolutionary Applications, 2022, pp.95-110. ⟨10.1111/eva.13328⟩
Evolutionary Applications, Vol 15, Iss 1, Pp 95-110 (2022)
Evolutionary Applications, Blackwell, 2022, ⟨10.1111/eva.13328⟩
Evolutionary Applications, Blackwell, 2021, ⟨10.1111/eva.13328⟩

International audience; We have modeled the evolutionary epidemiology of spore-producing plant pathogens in heterogeneous environments sown with several cultivars carrying quantitative resistances. The model explicitly tracks the infection-age struct

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4533270ffe4e02c25c50fd5ce54139b5
https://hal.science/hal-03465168/file/Fabre_EvolApp_2021.pdf

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

Autor: Arnaud Ducrot, Quentin Richard, Jean-Baptiste Burie, Quentin Griette

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 nontr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acda7de3c7577c79aa09be2987d6fafe
https://hal.archives-ouvertes.fr/hal-02319518v2/document

Slow convergence to equilibrium for an evolutionary epidemiology integro-differential system

Autor: Arnaud Ducrot, Ramsès Djidjou-Demasse, Jean-Baptiste Burie

Publikováno v: Discrete and Continuous Dynamical Systems-Series B
Discrete and Continuous Dynamical Systems-Series B, American Institute of Mathematical Sciences, 2019, 22 (11), ⟨10.3934/dcdsb.2019225⟩
Discrete and Continuous Dynamical Systems-Series B, American Institute of Mathematical Sciences, 2020, 25 (6), pp.2223-2243. ⟨10.3934/dcdsb.2019225⟩

This work is devoted to the study of an integro-differential system of equations modelling the genetic adaptation of a pathogen by taking into account both mutation and selection processes. Using the variance of the dispersion in the phenotype trait

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1d4239938cc66ee8a9e4bfabe3e6762
http://hdl.handle.net/20.500.12278/8584

An epi-evolutionary model to predict spore-producing pathogens adaptation to quantitative resistance in heterogeneous environments

Autor: Ramsès Djidjou-Demasse, Frédéric Fabre, Quentin Richard, Sébastien Lion, Jean-Baptiste Burie, Arnaud Ducrot

We model the evolutionary epidemiology of spore-producing plant pathogens in heterogeneous environments sown with several cultivars carrying quantitative resistances. The model explicitly tracks the infection-age structure and genetic composition of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cdd3ad3ce68d860e20a686f989b124f8
https://doi.org/10.1101/423467

A field scale model for the spread of fungal diseases in crops: the example of a powdery mildew epidemic over a large vineyard

Autor: Arnaud Ducrot, Jean Baptiste Burie

Publikováno v: Mathematical Methods in the Applied Sciences
Mathematical Methods in the Applied Sciences, Wiley, 2015

The aim of this article is to derive an asymptotic two-scale model for the propagation of a fungal disease over a large vineyard. The original model is based on a singularly perturbed system of two linear reaction-diffusion equations coupled with a s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d87633e61bd67158691cda503cdddbe
https://doi.org/10.1002/mma.3312