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Pupulin, M.* ; Wang, X.S.* ; Efendiyev, M.A. ; Giletti, T.* ; Eberl, H.J.*

A PDE-ODE coupled spatio-temporal mathematical model for fire blight during bloom.

J. Math. Biol. 91:67 (2025)
DOI PMC
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Review
Schlagwörter 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
Zeitschrift Journal of Mathematical Biology
Quellenangaben Band: 91, Heft: 6, Seiten: , Artikelnummer: 67 Supplement: ,
Verlag Springer
Verlagsort Tiergartenstrasse 17, D-69121 Heidelberg, Germany
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)
Förderungen 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