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

Article

El Jarroudi, Mustapha, Karjoun, Hasan, Kouadio, Louis and El Jarroudi, Moussa. 2020. "Mathematical modelling of non-local spore dispersion of wind-borne pathogens causing fungal diseases." Applied Mathematics and Computation. 376. https://doi.org/10.1016/j.amc.2020.125107
Article Title Mathematical modelling of non-local spore dispersion of wind-borne pathogens causing fungal diseases 49 Article El Jarroudi, Mustapha (Author), Karjoun, Hasan (Author), Kouadio, Louis (Author) and El Jarroudi, Moussa (Author) Applied Mathematics and Computation 376 125107 11 2020 United States 0096-3003 1873-5649 https://doi.org/10.1016/j.amc.2020.125107 https://www.sciencedirect.com/science/article/pii/S009630032030076X 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. plant disease, mathematical model, non-local dispersion, epidemic levels, numerical simulations Does not contain sensitive content 490102. Biological mathematics 300409. Crop and pasture protection (incl. pests, diseases and weeds) Files associated with this item cannot be displayed due to copyright restrictions. Abdelmalek Essaâdi University, Morocco Abdelmalek Essaâdi University, Morocco Centre for Applied Climate Sciences University of Liege, Belgium University of Southern Queensland

https://research.usq.edu.au/item/q5q7v/mathematical-modelling-of-non-local-spore-dispersion-of-wind-borne-pathogens-causing-fungal-diseases

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Kouadio, Louis, Djaby, Bakary, El Jarroudi, Moussa and Tychon, Bernard. 2012. "Importance of a well-distributed frequency of measurements in the senescence monitoring of winter wheat and yield estimates." Journal of Agricultural Science and Technology . 2 (12), pp. 1203-1213.
##### Estimating winter wheat yield through the decreasing phase of its green area [Cinetique de decroissance de la surface verte et estimation du rendement du ble d'hiver]
Kouadio, Amani Louis, Djaby, Bakary, Duveiller, Gregory, El Jarroudi, Moussa and Tychon, Bernard. 2012. "Estimating winter wheat yield through the decreasing phase of its green area [Cinetique de decroissance de la surface verte et estimation du rendement du ble d'hiver]." Biotechnology, Agronomy, Society and Environment. 16 (2), pp. 179-191.
##### Typology of the main fungal diseases affecting winter wheat in the Grand Duchy of Luxembourg
El Jarroudi, Moussa, Kouadio, Louis, Delfosse, Philippe, Giraud, Frederic, Junk, Jurgen, Hoffmann, Lucien, Maraite, Henri and Tychon, Bernard. 2012. "Typology of the main fungal diseases affecting winter wheat in the Grand Duchy of Luxembourg." Journal of Agricultural Science and Technology . 2 (12), pp. 1386-1399.
##### Spatial distribution of calibrated WOFOST parameters and their influence on the performances of a regional yield forecasting system
Djaby, Bakary, de Wit, Allard, Kouadio, Louis, El Jarroudi, Moussa and Tychon, Bernard. 2013. "Spatial distribution of calibrated WOFOST parameters and their influence on the performances of a regional yield forecasting system." Sustainable Agriculture Research. 2 (4), pp. 12-29. https://doi.org/10.5539/sar.v2n4p12
##### Disease severity assessment in epidemiological studies: accuracy and reliability of visual estimates of Septoria leaf blotch (SLB) in winter wheat
El Jarroudi, Moussa, Kouadio, Louis, Mackels, Christophe, Tychon, Bernard, Delfosse, Philippe and Bock, Clive H.. 2014. "Disease severity assessment in epidemiological studies: accuracy and reliability of visual estimates of Septoria leaf blotch (SLB) in winter wheat." 2014 APS-CPS Joint Meeting. Minneapolis, United States of America 09 - 13 Aug 2014 United States. American Phytopathological Society. https://doi.org/10.1094/PHYTO-104-11-S3.1