A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion

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dc.contributor.authorBerres, Stefan
dc.contributor.authorRuiz-Baier, Ricardo
dc.date2011
dc.date.accessioned2021-04-30T16:33:00Z
dc.date.available2021-04-30T16:33:00Z
dc.description.abstractAn epidemic model is formulated by a reaction-diffusion system where the spatial pattern formation is driven by cross-diffusion. The reaction terms describe the local dynamics of susceptible and infected species, whereas the diffusion terms account for the spatial distribution dynamics. For both self-diffusion and cross-diffusion, nonlinear constitutive assumptions are suggested. To simulate the pattern formation two finite volume formulations are proposed, which employ a conservative and a non-conservative discretization, respectively. An efficient simulation is obtained by a fully adaptive multiresolution strategy. Numerical examples illustrate the impact of the cross-diffusion on the pattern formation. (c) 2011 Elsevier Ltd. All rights reserved.
dc.identifier.citationNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,Vol.12,2888-2903,2011
dc.identifier.doi10.1016/j.nonrwa.2011.04.014
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/2997
dc.language.isoen
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.sourceNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
dc.subject.englishEpidemic model
dc.subject.englishReaction-diffusion equation
dc.subject.englishCross-diffusion
dc.subject.englishFully adaptive multiresolution
dc.titleA fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
dc.typeArticle
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