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Spatial spread of infectious diseases

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/10839

Spatial spread of infectious diseases

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dc.contributor.author Mora, Aaron
dc.date.accessioned 2010-06-25T21:21:36Z
dc.date.available 2010-06-25T21:21:36Z
dc.date.issued 2010-06-25T21:21:36Z
dc.date.submitted May 2010
dc.identifier.uri http://hdl.handle.net/1928/10839
dc.description.abstract In 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.iso en_US en_US
dc.subject spatial spread en_US
dc.subject infectious diseases en_US
dc.subject.lcsh Communicable diseases--Epidemiology--Mathematical models
dc.subject.lcsh Spatial analysis (Statistics)
dc.title Spatial spread of infectious diseases en_US
dc.type Thesis en_US
dc.description.degree Mathematics en_US
dc.description.level Masters en_US
dc.description.department University of New Mexico. Dept. of Mathematics and Statistics en_US
dc.description.advisor Embid, Pedro
dc.description.committee-member Toolson, Eric
dc.description.committee-member Wearing, Helen


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