Multiscale malaria models and their uniform in-time asymptotic analysis
| dc.contributor.author | Banasiak, Jacek | |
| dc.contributor.author | Tchoumi, Stephane Yanick | |
| dc.contributor.email | jacek.banasiak@up.ac.za | en_US |
| dc.date.accessioned | 2024-09-09T10:11:19Z | |
| dc.date.available | 2024-09-09T10:11:19Z | |
| dc.date.issued | 2024-07 | |
| dc.description.abstract | In this paper, we show that an extension of the classical Tikhonov–Fenichel asymptotic procedure applied to multiscale models of vector-borne diseases, with time scales determined by the dynamics of human and vector populations, yields a simplified model approximating the original one in a consistent, and uniform for large times, way. Furthermore, we construct a higher-order approximation based on the classical Chapman–Enskog procedure of kinetic theory and show, in particular, that it is equivalent to the dynamics on the first-order approximation of the slow manifold in the Fenichel theory. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.librarian | hj2024 | en_US |
| dc.description.sdg | None | en_US |
| dc.description.uri | http://www.elsevier.com/locate/matcom | en_US |
| dc.identifier.citation | Banasiak, J. & Tchoumi, S.Y. 2024, 'Multiscale malaria models and their uniform in-time asymptotic analysis', Mathematics and Computers in Simulation, vol. 221, pp. 1-18, doi : 10.1016/j.matcom.2024.02.015. | en_US |
| dc.identifier.issn | 0378-4754 (print) | |
| dc.identifier.issn | 1872-7166 (online) | |
| dc.identifier.other | 10.1016/j.matcom.2024.02.015 | |
| dc.identifier.uri | http://hdl.handle.net/2263/98082 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | © 2024 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was submitted for publication in Mathematics and Computers in Simulation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may are not reflected in this document. A definitive version was subsequently published in Mathematics and Computers in Simulation, vol. 221, pp. 1-18, doi : 10.1016/j.matcom.2024.02.015. | en_US |
| dc.subject | Multiscale malaria models | en_US |
| dc.subject | Singularly perturbed problems | en_US |
| dc.subject | Approximation of slow manifold | en_US |
| dc.subject | Uniform in time asymptotics | en_US |
| dc.subject | Global stability of solutions | en_US |
| dc.subject | Group renormalization method | en_US |
| dc.subject | Chapman–Enskog expansion | en_US |
| dc.title | Multiscale malaria models and their uniform in-time asymptotic analysis | en_US |
| dc.type | Preprint Article | en_US |