PuSH - Publication Server of Helmholtz Zentrum München: A PDE-ODE coupled spatio-temporal mathematical model for fire blight during bloom.

Information

Clues to quality of journals

Open Access Policy of Helmholtz Association 2016

CC Licencences

Publication Metrics

Navigation

Home

Deutsch

EVA: Electronic Publishing

New EVA Application

Research

Advanced Search

Browse by ...

... HMGU-Authors/Consortia

... Organizational Structure

... Journal

... Publication Type

... Research Data

... Arbeitsgruppen

... Publication Year

Publication overview

Statistics

Statistics (last 5 years)

OA Publications

Publish

Submit Publication

Import publication from...

...EVA

Report missing publication

Highlights

Support & Contact

Contact persons

Help

Data protection

Helmholtz Open Science

JANE Journal Estimator

SHERPA/RoMEO

DOAJ

Export:

Text

Endnote (RIS) BIB

BibTeX

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)

Publ. Version/Full Text

DOI

PMC

	Closed

Open Access Green as soon as Postprint is submitted to ZB.

Abstract
Metrics
Extra information

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.

Impact Factor

Scopus SNIP

Altmetric

0.000