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PATTERN FORMATION FOR A REACTION DIFFUSION SYSTEM WITH CONSTANT AND CROSS DIFFUSION

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dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.date2014
dc.date.accessioned2025-01-10T14:46:56Z
dc.date.available2025-01-10T14:46:56Z
dc.date.issued2014
dc.description.abstractIN THIS WORK, WE STUDY A FINITE VOLUME SCHEME FOR A REACTION DIFFUSION SYSTEM WITH CONSTANT AND CROSS DIFFUSION MODELING THE SPREAD OF AN EPIDEMIC DISEASE WITHIN A HOST POPULATION STRUCTURED WITH THREE SUBCLASSES OF INDIVIDUALS (SIR-MODEL). THE MOBILITY IN EACH CLASS IS ASSUMED TO BE INFLUENCED BY THE GRADIENT OF OTHER CLASSES. WE ESTABLISH THE EXISTENCE OF A SOLUTION TO THE FINITE VOLUME SCHEME AND SHOW CONVERGENCE TO A WEAK SOLUTION. THE CONVERGENCE PROOF IS BASED ON DERIVING A SERIES OF A PRIORI ESTIMATES AND USING A GENERAL L P COMPACTNESS CRITERION.
dc.formatapplication/pdf
dc.identifier.doi10.1007/978-3-319-10705-9
dc.identifier.issn1439-7358
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8942
dc.languagespa
dc.publisherLECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING, NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS
dc.relation.uri10.1007/978-3-319-10705-9
dc.rightsPUBLICADA
dc.titlePATTERN FORMATION FOR A REACTION DIFFUSION SYSTEM WITH CONSTANT AND CROSS DIFFUSION
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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