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

ERA Journal ID49
Article CategoryArticle
AuthorsEl Jarroudi, Mustapha (Author), Karjoun, Hasan (Author), Kouadio, Louis (Author) and El Jarroudi, Moussa (Author)
Journal TitleApplied Mathematics and Computation
Journal Citation376
Article Number125107
Number of Pages11
Year2020
Place of PublicationUnited States
ISSN0096-3003
1873-5649
Digital Object Identifier (DOI)https://doi.org/10.1016/j.amc.2020.125107
Web Address (URL)https://www.sciencedirect.com/science/article/pii/S009630032030076X
Abstract

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.

Keywordsplant disease, mathematical model, non-local dispersion, epidemic levels, numerical simulations
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020490102. Biological mathematics
300409. Crop and pasture protection (incl. pests, diseases and weeds)
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Byline AffiliationsAbdelmalek Essaâdi University, Morocco
Abdelmalek Essaâdi University, Morocco
Centre for Applied Climate Sciences
University of Liege, Belgium
Institution of OriginUniversity of Southern Queensland
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El Jarroudi, Moussa, Kouadio, Louis, Giraud, Frederic, Delfosse, Philippe and Tychon, Bernard. 2014. "Brown rust disease control in winter wheat: II. Exploring the optimization of fungicide sprays through a decision support system." Environmental Science and Pollution Research. 21 (7), pp. 4809-4818. https://doi.org/10.1007/s11356-014-2557-9
Brown rust disease control in winter wheat: I. Exploring an approach for disease progression based on night weather conditions
El Jarroudi, Moussa, Kouadio, Louis, Delfosse, Philippe and Tychon, Bernard. 2014. "Brown rust disease control in winter wheat: I. Exploring an approach for disease progression based on night weather conditions." Environmental Science and Pollution Research. 21 (7), pp. 4797-4808. https://doi.org/10.1007/s11356-013-2463-6
An integrated, probabilistic model for improved seasonal forecasting of agricultural crop yield under environmental uncertainty
Newlands, Nathaniel K., Zamar, David S., Kouadio, Louis A., Zhang, Yinsuo, Chipanshi, Aston, Potgieter, Andries, Toure, Souleymane and Hill, Harvey S. J.. 2014. "An integrated, probabilistic model for improved seasonal forecasting of agricultural crop yield under environmental uncertainty." Frontiers in Environmental Science. 2, pp. 1-21. https://doi.org/10.3389/fenvs.2014.00017
A comparison of raters and disease assessment methods for estimating disease severity for purposes of hypothesis testing
Bock, Clive, El Jarroudi, Moussa, Kouadio, Louis, Mackels, Christophe, Chiang, Kuo-Szu and Delfosse, Philippe. 2014. "A comparison of raters and disease assessment methods for estimating disease severity for purposes of hypothesis testing." Phytopathology: International Journal of the American Phytopathological Society. 104 (11), pp. 15-16.
Importance of a well-distributed frequency of measurements in the senescence monitoring of winter wheat and yield estimates
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
Profitability of using warning system for foliar disease of wheat in the Grand-Duchy of Luxembourg
El Jarroudi, M., Kouadio, L., Beyer, M., Tychon, B. and Delfosse, P.. 2013. "Profitability of using warning system for foliar disease of wheat in the Grand-Duchy of Luxembourg." 2013 APS-MSA Joint Meeting. United States 10 - 14 Aug 2013 United States. American Phytopathological Society. https://doi.org/10.1094/PHYTO-103-6-S2.1