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A CONVERGENT FINITE VOLUME METHOD FOR A MODEL OF INDIRECTLY TRANSMITTED DISEASES WITH NONLOCAL CROSS-DIFFUSION

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dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.date2015
dc.date.accessioned2025-01-10T14:29:24Z
dc.date.available2025-01-10T14:29:24Z
dc.date.issued2015
dc.description.abstractIN THIS PAPER, WE ARE CONCERNED WITH A MODEL OF THE INDIRECT TRANSMISSION OF AN EPIDEMIC DISEASE BETWEEN TWO SPATIALLY DISTRIBUTED HOST POPULATIONS HAVING NON-COINCIDENT SPATIAL DOMAINS WITH NONLOCAL AND CROSS-DIFFUSION, THE EPIDEMIC DISEASE TRANSMISSION OCCURRING THROUGH A CONTAMINATED ENVIRONMENT. THE MOBILITY OF EACH CLASS IS ASSUMED TO BE INFLUENCED BY THE GRADIENT OF THE OTHER CLASSES. WE ADDRESS THE QUESTIONS OF EXISTENCE OF WEAK SOLUTIONS AND EXISTENCE AND UNIQUENESS OF CLASSICAL SOLUTION BY USING, RESPECTIVELY, A REGULARIZATION METHOD AND AN INTERPOLATION RESULT BETWEEN BANACH SPACES. MOREOVER, WE PROPOSE A FINITE VOLUME SCHEME AND PROVED THE WELL-POSEDNESS, NONNEGATIVITY AND CONVERGENCE OF THE DISCRETE SOLUTION. THE CONVERGENCE PROOF IS BASED ON DERIVING A SERIES OF A PRIORI ESTIMATES AND BY USING A GENERAL LP COMPACTNESS CRITERION. FINALLY, THE NUMERICAL SCHEME IS ILLUSTRATED BY SOME EXAMPLES.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.camwa.2015.04.021
dc.identifier.issn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7657
dc.languagespa
dc.publisherCOMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.relation.uri10.1016/j.camwa.2015.04.021
dc.rightsPUBLICADA
dc.subjectWEAK SOLUTION
dc.subjectREACTION-DIFFUSION SYSTEM
dc.subjectNONLOCAL CROSS-DIFFUSION
dc.subjectFINITE VOLUME SCHEME
dc.subjectDISCRETE COMPACTNESS
dc.subjectCLASSICAL SOLUTION
dc.titleA CONVERGENT FINITE VOLUME METHOD FOR A MODEL OF INDIRECTLY TRANSMITTED DISEASES WITH NONLOCAL CROSS-DIFFUSION
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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