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dc.contributor.authorMora, Aaron
dc.date.accessioned2010-06-25T21:21:36Z
dc.date.available2010-06-25T21:21:36Z
dc.date.issued2010-06-25T21:21:36Z
dc.date.submittedMay 2010
dc.identifier.urihttp://hdl.handle.net/1928/10839
dc.description.abstractIn this thesis we do a comparative study of diffusive models with non-diffusive models, looking at the effect movements in the form of simple diffusion have on the spreading of infectious diseases. This study is undertaken within the context of the SI and SIR models, two of the most fundamental models for the propagation of infectious diseases. The diffusive SI and SIR models are supplemented with no flux boundary conditions to insure meaningful comparison of the populations predictions. In addition, we use a one dimensional spatial domain for computational simplicity. The comparison of the SI (and SIR) model with its diffusive counterpart is carried out for a broad spectrum of diffusivities. We identify their ranges of diffusivities for which the predictions of the diffusive and non-diffusive models are in good agreement. Interestingly, we discovered that in the subcritical case, the diffusive SIR model predicts an epidemic outbreak whereas the standard SIR model does not.en_US
dc.language.isoen_USen_US
dc.subjectspatial spreaden_US
dc.subjectinfectious diseasesen_US
dc.subject.lcshCommunicable diseases--Epidemiology--Mathematical models
dc.subject.lcshSpatial analysis (Statistics)
dc.titleSpatial spread of infectious diseasesen_US
dc.typeThesisen_US
dc.description.degreeMathematicsen_US
dc.description.levelMastersen_US
dc.description.departmentUniversity of New Mexico. Dept. of Mathematics and Statisticsen_US
dc.description.advisorEmbid, Pedro
dc.description.committee-memberToolson, Eric
dc.description.committee-memberWearing, Helen


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