Madzvamuse, Anotida, Gerisch, Alf and Barreira, Raquel (2018) Cross-diffusion in reaction-diffusion models: analysis, numerics and applications. Published in: ECMI 2016: Progress in Industrial Mathematics at ECMI 2016. 26 385-392. Springer ISBN 978-3-319-63081-6
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Abstract
Cross-diffusion terms are nowadays widely used in reaction-diffusion equations encountered in models from mathematical biology and in various engineering applications. In this contribution we review the basic model equations of such systems, give an overview of their mathematical analysis, with an emphasis on pattern formation and positivity preservation, and finally we present numerical simulations that highlight special features of reaction-cross-diffusion models.
Item Type: | Conference Proceedings |
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Keywords: | Reaction-diffusion, cross-diffusion, pattern formation, cancer invasion |
Schools and Departments: | School of Mathematical and Physical Sciences > Physics and Astronomy |
Research Centres and Groups: | Mathematics Applied to Biology Research Group |
Subjects: | Q Science Q Science > QA Mathematics Q Science > QA Mathematics > QA0297 Numerical analysis Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems |
Depositing User: | Anotida Madzvamuse |
Date Deposited: | 03 Jan 2017 16:34 |
Last Modified: | 19 Apr 2018 09:51 |
URI: | http://srodev.sussex.ac.uk/id/eprint/66016 |
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📧 Request an updateProject Name | Sussex Project Number | Funder | Funder Ref |
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New predictive mathematical and computational models in experimental sciences | G1949 | ROYAL SOCIETY | WM160017 |