| dc.creator | Berres, Stefan | |
| dc.creator | Ruiz-Baier, Ricardo | |
| dc.date | 2011 | |
| dc.date | 2021-04-30T16:33:00Z | |
| dc.date | 2021-04-30T16:33:00Z | |
| dc.date.accessioned | 2021-06-14T22:08:41Z | |
| dc.date.available | 2021-06-14T22:08:41Z | |
| dc.identifier | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,Vol.12,2888-2903,2011 | |
| dc.identifier | http://repositoriodigital.uct.cl/handle/10925/2997 | |
| dc.identifier | 10.1016/j.nonrwa.2011.04.014 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/3301522 | |
| dc.description | An 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.language | en | |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | |
| dc.source | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | |
| dc.subject | Epidemic model | |
| dc.subject | Reaction-diffusion equation | |
| dc.subject | Cross-diffusion | |
| dc.subject | Fully adaptive multiresolution | |
| dc.title | A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion | |
| dc.type | Article | |
