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Open Access Green as soon as Postprint is submitted to ZB.
A PDE-ODE coupled spatio-temporal mathematical model for fire blight during bloom.
J. Math. Biol. 91:67 (2025)
Fire blight is a bacterial plant disease that affects apple and pear trees. We present a mathematical model for its spread in an orchard during bloom. This is a PDE-ODE coupled system, consisting of two semilinear PDEs for the pathogen, coupled to a system of three ODEs for the stationary hosts. Exploratory numerical simulations suggest the existence of travelling waves, which we subsequently prove, under some conditions on parameters, using the method of upper and lower bounds and Schauder's fixed point theorem. Our results are likely not optimal in the sense that our constraints on parameters, which can be interpreted biologically, are sufficient for the existence of travelling waves, but probably not necessary. Possible implications for fire blight biology and management are discussed.
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Publication type
Article: Journal article
Document type
Review
Keywords
Erwinia Amylovora ; Fire Blight ; Mathematical Model ; Pde-ode Coupled System ; Travelling Waves; Traveling-wave Solutions; Erwinia-amylovora Infection; Reaction-diffusion Systems; Hawthorn Blossom; Epidemic Model; Disease; Apple; Thresholds; Spread; Age
ISSN (print) / ISBN
0303-6812
e-ISSN
1432-1416
Journal
Journal of Mathematical Biology
Quellenangaben
Volume: 91,
Issue: 6,
Article Number: 67
Publisher
Springer
Publishing Place
Tiergartenstrasse 17, D-69121 Heidelberg, Germany
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)
Grants
Canada First Research Excellence Fund through an Ontario Agrifood Innovation Alliance/Food from Thought HQP Scholarship
Ontario Ministry of Agriculture, Food and Rural Affairs (OMAFRA)
NSERC
Ontario Ministry of Agriculture, Food and Rural Affairs (OMAFRA)
NSERC