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dc.contributor.authorRivera, W. M.
dc.date.accessioned2009-08-13T15:01:18Z
dc.date.available2009-08-13T15:01:18Z
dc.date.issued1994-06-29
dc.identifier.urihttp://hdl.handle.net/1853/29541
dc.description.abstractIn this paper we formulate a model for the spread of vulpine rabies based on fox ecology. This model is also an approximation to the one introduced by J. D. Murray et al [MSB]. We prove that a heteroclinic spiral connection exists between the disease free and endemic equilibria of the travelling wave ODE (TWODE). The local analysis and simulation results in [MSB] motivated our proof. We hope that these results will be of interest to researchers investigating outbreaks of raccoon rabies in the United States and fox rabies in Europe as well as to epidemiologists in general.en
dc.description.sponsorshipThis research was partly supported by WGC grant #9432 and by NSF grant DMS-9404604.en
dc.language.isoen_USen
dc.publisherGeorgia Institute of Technologyen
dc.relation.ispartofseriesCDSNS94-183en
dc.subjectRabiesen
dc.subjectEpidemic modelsen
dc.subjectTravelling Fisher wavesen
dc.subjectPrey-predator modelsen
dc.subjectWazewski principleen
dc.titleEpidemic Waves: A Diffusion Model for Fox Rabiesen
dc.typePre-printen
dc.contributor.corporatenameGeorgia Institute of Technology. School of Mathematics
dc.contributor.corporatenameGeorgia Institute of Technology. Center for Dynamical Systems and Nonlinear Studies
dc.contributor.corporatenameWest Georgia College


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