Mathematical modelling of non-local spore dispersion of wind-borne pathogens causing fungal diseases

El Jarroudi, Mustapha; Karjoun, Hasan; Kouadiou, Louis; El Jarroudi, Moussa

doi:10.1016/j.amc.2020.125107

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Mathematical modelling of non-local spore dispersion of wind-borne pathogens causing fungal diseases

El Jarroudi, Mustapha; Karjoun, Hasan; Kouadiou, Louis et al.

2020 • In Applied Mathematics and Computation, 376 (7), p. 1-11

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/245397

DOI
10.1016/j.amc.2020.125107

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Keywords :

Plnat Disease; Mathematical model; Non-local dispersion; Epidemic levels; Numerical simulations

Abstract :

[en] Theoretical description of epidemics of plant diseases is an invaluable resource for their efficient management. Here we propose a mathematical model for describing the dispersal by wind of fungal pathogens in plant populations. The dispersal of pathogen spores was modelled using a non-local diffusion equation which took into account variations in wind velocity components and contained a threshold in the convolution kernel defining the non-local diffusion term. The model was analyzed and the epidemic levels and patterns of the plant disease were derived, based upon defined assumptions of the time and space variables (i.e., represented by continuous parameters), and the host population (i.e., fixed population size). Numerical applications were then performed using reported characteristic values for wheat leaf rust, stripe rust and stem rust.

Disciplines :

Agriculture & agronomy

Author, co-author :

El Jarroudi, Mustapha

Karjoun, Hasan

Kouadiou, Louis

El Jarroudi, Moussa ; Université de Liège - ULiège > DER Sc. et gest. de l'environnement (Arlon Campus Environ.) > Eau, Environnement, Développement

Language :

English

Title :

Mathematical modelling of non-local spore dispersion of wind-borne pathogens causing fungal diseases

Publication date :

01 July 2020

Journal title :

Applied Mathematics and Computation

ISSN :

0096-3003

eISSN :

1873-5649

Publisher :

Elsevier, Netherlands

Volume :

376

Issue :

Pages :

1-11

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.sciencedirect.com/science/article/pii/S009630032030076X

Available on ORBi :

since 26 February 2020

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