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

El Jarroudi, Mustapha and Karjoun, Hasan and Kouadio, Louis ORCID: https://orcid.org/0000-0001-9669-7807 and El Jarroudi, Moussa (2020) Mathematical modelling of non-local spore dispersion of wind-borne pathogens causing fungal diseases. Applied Mathematics and Computation, 376:125107. ISSN 0096-3003


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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to Published version in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Current - Institute for Life Sciences and the Environment - Centre for Applied Climate Sciences (1 Aug 2018 -)
Faculty/School / Institute/Centre: Current - Institute for Life Sciences and the Environment - Centre for Applied Climate Sciences (1 Aug 2018 -)
Date Deposited: 27 May 2020 06:36
Last Modified: 03 Jun 2020 05:12
Uncontrolled Keywords: plant disease, mathematical model, non-local dispersion, epidemic levels, numerical simulations
Fields of Research (2008): 01 Mathematical Sciences > 0102 Applied Mathematics > 010202 Biological Mathematics
07 Agricultural and Veterinary Sciences > 0703 Crop and Pasture Production > 070308 Crop and Pasture Protection (Pests, Diseases and Weeds)
Identification Number or DOI: https://doi.org/10.1016/j.amc.2020.125107
URI: http://eprints.usq.edu.au/id/eprint/38319

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