A Spatial Model For The Spread Of Fire Blight During Bloom

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dc.contributor.advisorEberl, Hermann
dc.contributor.authorPupulin, Michael
dc.date.accessioned2022-09-14T16:29:32Z
dc.date.available2022-09-14T16:29:32Z
dc.date.copyright2022-09
dc.date.created2022-09-07
dc.degree.departmentDepartment of Mathematics and Statisticsen_US
dc.degree.grantorUniversity of Guelphen
dc.degree.nameMaster of Scienceen_US
dc.degree.programmeMathematics and Statisticsen_US
dc.description.abstractThrough the coupling of two semi-linear reaction-diffusion equations and three ordinary differential equations we formulate the first spatial model to describe the spread of fire blight during bloom. First, it is shown that non-negative, unique and bounded solutions exist to our coupled system. We then discuss the stability of the disease-free equilibrium, the asymptotic behaviour of solutions and argue that patterns do not form in our model as time gets large. By using the method of upper and lower solutions together with Schauder’s fixed point theorem, we show that our model admits travelling wave solutions that connect a disease free state and a state in which all hosts are dead. Through simulation experiments we find that host density and the transfer of ooze to healthy flowers both have a significant impact on the early speed of spread.en_US
dc.description.sponsorshipThe Ontario Agri-Food Innovation Alliance
dc.description.sponsorshipFood from thought (through the HQP program)
dc.identifier.urihttps://hdl.handle.net/10214/27233
dc.language.isoenen_US
dc.publisherUniversity of Guelphen
dc.rights.licenseAll items in the Atrium are protected by copyright with all rights reserved unless otherwise indicated.
dc.subjectPartial differential equationsen_US
dc.subjectReaction diffusion equationsen_US
dc.subjectTravelling wave solutionsen_US
dc.subjectMathematical Epidemiologyen_US
dc.subjectMathematical Ecologyen_US
dc.subjectCouple PDE-ODE systemsen_US
dc.subjectFire blighten_US
dc.titleA Spatial Model For The Spread Of Fire Blight During Bloomen_US
dc.typeThesisen
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